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The hcf and the lcm of two number are 9 and 360 respectively if one number 45 write the other numbet?
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The hcf and the lcm of two number are 9 and 360 respectively if one nu...
Given:
HCF = 9
LCM = 360
One number = 45
To find:
The other number
Solution:
Let the other number be x.
Prime Factorization Method:
We know that HCF × LCM = Product of the two numbers.
i.e., 9 × 360 = 45 × x
On solving, we get x = 720.
Therefore, the other number is 720.
Division Method:
We know that HCF is the highest common factor of the two numbers.
Therefore, 9 divides both the numbers.
Also, LCM is the smallest number which is a multiple of both the numbers.
Therefore, 360 is a multiple of both the numbers.
We can use the division method to find the other number as follows:
Step 1: Divide 360 by 45.
360 ÷ 45 = 8
Therefore, one factor of the other number is 8.
Step 2: Divide 8 by 9.
8 ÷ 9 = 0 with remainder 8
Therefore, the other factor of the other number is 9 × 8 = 72.
Step 3: The other number is the product of the factors obtained in steps 1 and 2.
Therefore, the other number is 8 × 72 = 576.
Answer:
The other number is 720 or 576.
HCF = 9
LCM = 360
One number = 45
To find:
The other number
Solution:
Let the other number be x.
Prime Factorization Method:
We know that HCF × LCM = Product of the two numbers.
i.e., 9 × 360 = 45 × x
On solving, we get x = 720.
Therefore, the other number is 720.
Division Method:
We know that HCF is the highest common factor of the two numbers.
Therefore, 9 divides both the numbers.
Also, LCM is the smallest number which is a multiple of both the numbers.
Therefore, 360 is a multiple of both the numbers.
We can use the division method to find the other number as follows:
Step 1: Divide 360 by 45.
360 ÷ 45 = 8
Therefore, one factor of the other number is 8.
Step 2: Divide 8 by 9.
8 ÷ 9 = 0 with remainder 8
Therefore, the other factor of the other number is 9 × 8 = 72.
Step 3: The other number is the product of the factors obtained in steps 1 and 2.
Therefore, the other number is 8 × 72 = 576.
Answer:
The other number is 720 or 576.
Community Answer
The hcf and the lcm of two number are 9 and 360 respectively if one nu...
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The hcf and the lcm of two number are 9 and 360 respectively if one number 45 write the other numbet?
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The hcf and the lcm of two number are 9 and 360 respectively if one number 45 write the other numbet? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The hcf and the lcm of two number are 9 and 360 respectively if one number 45 write the other numbet? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The hcf and the lcm of two number are 9 and 360 respectively if one number 45 write the other numbet?.
The hcf and the lcm of two number are 9 and 360 respectively if one number 45 write the other numbet? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The hcf and the lcm of two number are 9 and 360 respectively if one number 45 write the other numbet? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The hcf and the lcm of two number are 9 and 360 respectively if one number 45 write the other numbet?.
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