123k views
1 vote
Least common multiple 84 , 36, and 15

1 Answer

3 votes

Answer:

1260

Explanation:

The least common multiple is the smallest positive number which is a multiple of the two. This means 84, 36, and 15 divide into it evenly. To find the multiple:

  1. We list the prime factors of each number.
  2. We note how many times each occurs.
  3. We multiply each factor the greatest number of times it occurs in a number.

84: 2*2*3*7

36: 2*2*3*3

15: 3*5

LCM: 2*2*3*3*5*7= 1260