What will be the least common multiple of four numbers 15, 35, 42 and 72?

Correct option is C

Given:

Given numbers are 15,35,42 and 72

Formula Used:

LCM is the smallest number when divided by numbers gives remainder zero

Prime factorization

Solution:

Prime factorization of 15,35,42 and 72 is:

​$$15 = 3 \times 5$$​​

​$$35 = 5 \times 7$$​​

​$$42 = 2 \times 3 \times 7$$​​

​$$72 = 2^3 \times 3^2$$​

The LCM of (15,35,42,72 ) is $$2^3 \times 3^2 \times 5 \times 7 = 2520$$​​