Question

What are the least common multiples of 2 and 30 and 45.

Answer 1

Write the prime factorization of each number.

2  = 1 * 2=2¹

30= 1 * 2 * 3 * 5=  2¹ * 3¹ * 5¹

45= 1 * 3 * 3 * 5 = 3² * 5¹

Multiply highest power of  each factor in the either numbers.

L.C.M =2¹ * 3² * 5¹     

             = 2 * 9 * 5

          = 90

L.C.M of 2, 30 and 45 is 90.

Answer 2

Least - common - multiple is the smallest(non - zero) number, that is a multiple of two or more numbers.

Multiples of 2 = 2, 4, 6, 8, 10, .............., 30, 32, 34, ........., 90, 92, 94, ............

Multiples of 30 = 30, 60, 90, 120, ...................

Multiples of 45 = 45, 90, 135, .............

The smallest of the common multiples is 90.

So, the least - common - multiples of 2, 30, 45 is 90.

Answer 3

Least - common - multiples(2, 30, 45)

L.C.M(2, 30, 45) = 2 * 3² * 5

                          = 2 * 9 * 5

                          = 10 * 9

                          = 90.

Least - common - multipless of 2, 30, and 45 is 90.