Question

how to find the LCM for 12 and 16 and 36 by prime factorization​

Answer 1

Step by Step Solution: Least Common Multiple is : 144. Calculate Least Common Multiple for : 12, 16 and 36. Factorize of the above numbers : 12 = 22 • 3. 16 = 24 36 = 22 • 32 ...

The prime factorization of 12 is: 2 x 2 x 3. The prime factorization of 36 is: 2 x 2 x 3 x 3. Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(12,12) = 36.

I hope its helpful....

Answer 2

The LCM of 12,16 and 36 by prime factorization is 144.

Given,

Numbers = 12,16 and 36.

To Find,

LCM by prime factorization.

Solution,

Before solving the question, we must understand the concept of prime factorization:

Prime factorization is the method in which the numbers are broken into even factors that can be divided evenly by the numbers.

Let's find the LCM of 12,16 and 36 using the prime factorization method,

12 = 2×2×3

16 = 2×2×2×2

36 = 2×2×3×3

The LCM of 12,16 and 36 = 2×2×2×2×3×3

= 16×9 = 144.

The LCM of 12,16 and 36 by prime factorization is 144.

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