Chapter 4.4, Problem 27E

To determine

To find LCM.

Answer to Problem 27E

LCM = 240

Explanation of Solution

Given information: 16, 20, 30

Formula Used: Factorisation

Calculation:

The least common multiple of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.

For 16,

  $16=2\times 2\times 2\times 2$

For 20,

  $20=2\times 2\times 5$

For 30,

  $30=2\times 3\times 5$

Hence, LCM is

  $LCM=2\times 2\times 2\times 2\times 3\times 5$

Thus, LCM is

  $LCM=240$