Question

Find the GCF and the LCM of 84
, 132
, and 180
using common division.

Answer 1

Answer:

into prime factors

84 2 42 2 21 3 7 7 1

132 2 66 2 33 3 11 11 1

180 2 90 2 45 3

Prime factors of 84 = 22 . 3 . 7

Prime factors of 132 = 22 . 3 . 11

Prime factors of 180 = 22 . 32 . 5

Common prime factors: 2 , 3

Common prime factors with the greatest exponent: 22, 32

Uncommon prime factors: 7 , 11 , 5

Uncommon prime factors with the greatest exponent: 71, 111, 51

LCM = 22. 32. 71. 111. 51 = 13860

Step-by-step explanation:

same as written above