Question

Find the least common multiple for the following of 40, 56,60

Answer 1

Answer: 840

Step-by-step explanation:

List all prime factors for each number.

Prime Factorization of 40 is:

2 x 2 x 2 x 5  =>  2^3 x 5^1

Prime Factorization of 56 is:

2 x 2 x 2 x 7  =>  2^3 x 7^1

Prime Factorization of 60 is:

2 x 2 x 3 x 5  =>  2^2 x 3^1 x 5^1

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

Multiply these factors together to find the LCM.

LCM = 2 x 2 x 2 x 3 x 5 x 7 = 840  

In exponential form:

LCM = 2^3 x 3^1 x 5^1 x 7^1 = 840  

LCM = 840

Therefore,

LCM(40, 56, 60) = 840

Answer 2

Answer:

280

Step-by-step explanation:

LCM :-

2   40, 56, 60

2   20, 28, 30

2   10, 14, 15

3   5,  7,  15

5   5,  7,  5

7   1,   7,   1

    1,   1,   1