Class 5 Exam > Class 5 Questions > Identify the correct statement.a)The L.C.M. o...
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Identify the correct statement.
- a)The L.C.M. of two co-primes is their product.
- b)The H.C.F. of twin primes is their product.
- c)The largest factor of a number is 1.
- d)The smallest factor of a number is the number itself.
Correct answer is option 'A'. Can you explain this answer?
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Identify the correct statement.a)The L.C.M. of two co-primes is their ...
The L.C.M. of co-primes is their product.
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Identify the correct statement.a)The L.C.M. of two co-primes is their ...
Explanation:
The correct statement is option 'A' - The L.C.M. of two co-primes is their product.
Co-primes, also known as relatively prime or mutually prime numbers, are two numbers that have no common factors other than 1. In other words, the greatest common divisor (GCD) of co-prime numbers is 1.
The least common multiple (LCM) of two numbers is the smallest positive integer that is divisible by both numbers. It is obtained by multiplying the numbers together and dividing by their GCD.
To understand why the LCM of two co-primes is their product, let's consider an example:
Let's take two co-prime numbers, 5 and 7.
Step 1:
Find the GCD of 5 and 7.
The factors of 5 are 1 and 5.
The factors of 7 are 1 and 7.
The only common factor is 1.
Therefore, GCD(5, 7) = 1.
Step 2:
Find the LCM of 5 and 7.
Multiply the numbers together: 5 * 7 = 35.
Divide by their GCD: 35 / 1 = 35.
Therefore, LCM(5, 7) = 35.
Hence, the LCM of two co-prime numbers 5 and 7 is indeed their product, which is 35.
This can be generalized for any two co-prime numbers. Since they have no common factors other than 1, their LCM will be their product.
Therefore, the correct statement is option 'A' - The L.C.M. of two co-primes is their product.
The correct statement is option 'A' - The L.C.M. of two co-primes is their product.
Co-primes, also known as relatively prime or mutually prime numbers, are two numbers that have no common factors other than 1. In other words, the greatest common divisor (GCD) of co-prime numbers is 1.
The least common multiple (LCM) of two numbers is the smallest positive integer that is divisible by both numbers. It is obtained by multiplying the numbers together and dividing by their GCD.
To understand why the LCM of two co-primes is their product, let's consider an example:
Let's take two co-prime numbers, 5 and 7.
Step 1:
Find the GCD of 5 and 7.
The factors of 5 are 1 and 5.
The factors of 7 are 1 and 7.
The only common factor is 1.
Therefore, GCD(5, 7) = 1.
Step 2:
Find the LCM of 5 and 7.
Multiply the numbers together: 5 * 7 = 35.
Divide by their GCD: 35 / 1 = 35.
Therefore, LCM(5, 7) = 35.
Hence, the LCM of two co-prime numbers 5 and 7 is indeed their product, which is 35.
This can be generalized for any two co-prime numbers. Since they have no common factors other than 1, their LCM will be their product.
Therefore, the correct statement is option 'A' - The L.C.M. of two co-primes is their product.
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Identify the correct statement.a)The L.C.M. of two co-primes is their ...
Option a, THE LCM OF 2 COPRIMES IS THEIR PRODUCT...
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Identify the correct statement.a)The L.C.M. of two co-primes is their product.b)The H.C.F. of twin primes is their product.c)The largest factor of a number is 1.d)The smallest factor of a number is the number itself.Correct answer is option 'A'. Can you explain this answer?
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Identify the correct statement.a)The L.C.M. of two co-primes is their product.b)The H.C.F. of twin primes is their product.c)The largest factor of a number is 1.d)The smallest factor of a number is the number itself.Correct answer is option 'A'. Can you explain this answer? for Class 5 2024 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about Identify the correct statement.a)The L.C.M. of two co-primes is their product.b)The H.C.F. of twin primes is their product.c)The largest factor of a number is 1.d)The smallest factor of a number is the number itself.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 5 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Identify the correct statement.a)The L.C.M. of two co-primes is their product.b)The H.C.F. of twin primes is their product.c)The largest factor of a number is 1.d)The smallest factor of a number is the number itself.Correct answer is option 'A'. Can you explain this answer?.
Identify the correct statement.a)The L.C.M. of two co-primes is their product.b)The H.C.F. of twin primes is their product.c)The largest factor of a number is 1.d)The smallest factor of a number is the number itself.Correct answer is option 'A'. Can you explain this answer? for Class 5 2024 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about Identify the correct statement.a)The L.C.M. of two co-primes is their product.b)The H.C.F. of twin primes is their product.c)The largest factor of a number is 1.d)The smallest factor of a number is the number itself.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 5 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Identify the correct statement.a)The L.C.M. of two co-primes is their product.b)The H.C.F. of twin primes is their product.c)The largest factor of a number is 1.d)The smallest factor of a number is the number itself.Correct answer is option 'A'. Can you explain this answer?.
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Identify the correct statement.a)The L.C.M. of two co-primes is their product.b)The H.C.F. of twin primes is their product.c)The largest factor of a number is 1.d)The smallest factor of a number is the number itself.Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Identify the correct statement.a)The L.C.M. of two co-primes is their product.b)The H.C.F. of twin primes is their product.c)The largest factor of a number is 1.d)The smallest factor of a number is the number itself.Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Identify the correct statement.a)The L.C.M. of two co-primes is their product.b)The H.C.F. of twin primes is their product.c)The largest factor of a number is 1.d)The smallest factor of a number is the number itself.Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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