Question

using fundamental theorem of arithmetic, find the LCM of 144, 180 and 192

Answer 1

here is your answer...

Answer 2

144 :- 2 × 2 × 2 × 2 × 3 × 3

144 :- 2⁴ × 3²


180 :- 2 × 2 × 3 × 3 × 5

180 :- 2² × 3² × 5

192 :- 2 ^ 6 × 3

LCM :- Product of the smallest power of each common prime factor in the number.

LCM :- 2 ^ 6 × 3² × 5

:- 64 × 45

:- 2880