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Subjects>Math>Basic Math

How do you find lcm using prime factorization?

Anonymous

∙ 12y ago

Updated: 4/28/2022

Example: 30 and 42

2 x 3 x 5 = 30

2 x 3 x 7 = 42

Combine the factors, eliminating duplicates.

2 x 3 x 5 x 7 = 210, the LCM

Wiki User

∙ 12y ago

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What is the LCM of 5 and 35 using prime factorization?

5 5 x 7 = 35 The LCM is 35.

What is the lcm of 8 and 42 using prime factorization?

Least Common Multiple (LCM) for 8 42 is 168.

What is the LCM of 5 25 and 125?

To find the Least Common Multiple (LCM) of 5, 25, and 125, we need to first find the prime factorization of each number. The prime factorization of 5 is 5, the prime factorization of 25 is 5^2, and the prime factorization of 125 is 5^3. The LCM is the product of the highest power of each prime factor that appears in any of the numbers, which in this case is 5^3, equaling 125. Therefore, the LCM of 5, 25, and 125 is 125.

What is the LCM of 136 and 102 and 204?

To find the Least Common Multiple (LCM) of 136, 102, and 204, we first need to find the prime factorization of each number. The prime factorization of 136 is 2^3 * 17, the prime factorization of 102 is 2 * 3 * 17, and the prime factorization of 204 is 2^2 * 3 * 17. To find the LCM, we take the highest power of each prime factor that appears in any of the numbers: 2^3 * 3 * 17 = 408. Therefore, the LCM of 136, 102, and 204 is 408.

What is the LCM of 25 45 and 60 using prime factorization?

It is: 22*32*52 = 900

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