What is the least common multiple of 210, 336, and 504?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 5040.
Prime factorization of the numbers
⇒ 210 = 2 × 3 × 5 × 7
⇒ 336 = 2 × 2 × 2 × 2 × 3 × 7
⇒ 504 = 2 × 2 × 2 × 3 × 3 × 7
Hence,
LCM(210, 336, 504) = 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 = 5040