The LCM of 56, 30, 108 and 120 is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 7560.
Prime factors:
56 = 2³ × 7
30 = 2 × 3 × 5
108 = 2² × 3³
120 = 2³ × 3 × 5
LCM = 2³ × 3³ × 5 × 7
= 8 × 27 × 5 × 7
= 8 × 27 = 216
⇒ 216 × 5 = 1080
⇒ 1080 × 7 = 7560