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Find lcm of 4 36 and 52 by prime factorization method steps by steps?
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Find lcm of 4 36 and 52 by prime factorization method steps by steps?
What is the Least Common Multiple (LCM) of 4, 36, and 52? Here we will show you step-by-step how to find the Least Common Multiple of 4, 36, and 52.
Step 1) First we find and list the prime factors of 4, 36, and 52 (Prime Factorization):
Prime Factors of 4:
2, 2
Prime Factors of 36:
2, 2, 3, 3
Prime Factors of 52:
2, 2, 13
Step 2) Then we look at the frequency of the prime factors as they appear in each set above. List each prime factor the greatest number of times it occurs in any of the sets:
2, 2, 3, 3, 13
Step 3) Finally, we multiply the prime numbers from Step 2 together.
2 x 2 x 3 x 3 x 13 = 468
That's it. The Least Common Multiple (LCM) of 4, 36, and 52 is 468.
This question is part of UPSC exam. View all Class 5 courses
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Find lcm of 4 36 and 52 by prime factorization method steps by steps?
Prime Factorization Method to Find LCM of 4, 36, and 52
Step 1: Prime Factorization
To find the least common multiple (LCM) of 4, 36, and 52, we will start by finding the prime factorization of each number.
Prime factorization of 4:
4 can be written as 2 * 2, where 2 is a prime number.
Prime factorization of 36:
36 can be written as 2 * 2 * 3 * 3, where 2 and 3 are prime numbers.
Prime factorization of 52:
52 can be written as 2 * 2 * 13, where 2 and 13 are prime numbers.
Step 2: Identify the Common and Unique Prime Factors
Now, let's identify the common and unique prime factors among the three numbers.
The common prime factors are 2 and 2.
The unique prime factors are 3 and 13.
Step 3: Determine the Highest Power of Each Prime Factor
To find the LCM, we need to determine the highest power of each prime factor.
The highest power of 2 is 2 * 2 = 4.
The highest power of 3 is 3.
The highest power of 13 is 13.
Step 4: Calculate the LCM
To calculate the LCM, we multiply the highest powers of the prime factors.
LCM = 2 * 2 * 3 * 13
LCM = 156
Final Answer
Therefore, the LCM of 4, 36, and 52 is 156.
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Find lcm of 4 36 and 52 by prime factorization method steps by steps?
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Find lcm of 4 36 and 52 by prime factorization method steps by steps? 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 Find lcm of 4 36 and 52 by prime factorization method steps by steps? covers all topics & solutions for Class 5 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find lcm of 4 36 and 52 by prime factorization method steps by steps?.
Find lcm of 4 36 and 52 by prime factorization method steps by steps? 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 Find lcm of 4 36 and 52 by prime factorization method steps by steps? covers all topics & solutions for Class 5 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find lcm of 4 36 and 52 by prime factorization method steps by steps?.
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