Question

what is the LCM of 25,30,65?
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Answer 1

Answer:

1950

Step-by-step explanation:

List all prime factors for each number.

Prime Factorization of 25 is:

5 x 5 => 52

Prime Factorization of 30 is:

2 x 3 x 5 => 21 x 31 x 51

Prime Factorization of 65 is:

5 x 13 => 51 x 131

For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.

The new superset list is

2, 3, 5, 5, 13

Multiply these factors together to find the LCM.

LCM = 2 x 3 x 5 x 5 x 13 = 1950

In exponential form:

LCM = 21 x 31 x 52 x 131 = 1950

LCM = 1950

Therefore,

LCM(25, 30, 65) = 1950

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Answer 2

5 | 25, 30,65

5 | 5, 6, 13

2| 1, 6, 13

3| 1, 3,13

13|. 1, 1, 13

|. 1, 1, 1

l.c.m = 5*5*2 *3*13

= 1950