Chapter 4.4, Problem 15E

To determine

To find the LCM.

Answer to Problem 15E

240.

Explanation of Solution

Given information: $16,30$

Formula Used : Factorisation

Calculation:

One way to find the least common multiple of two numbers is to first list the prime factors of each number.

  $16=2\times 2\times 2\times 2$$30=2\times 3\times 5$

Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.

2: four occurrence

3: one occurrences

5: one occurrence

LCM—>2 $\times$ 2 $\times$ 2 $\times$ 2 $\times$ 3 $\times$ 5=240