Find the least number that is exactly divisible by 20, 28, 34, 60, and 75.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 35700.
Given that
The least number that is exactly divisible by 20, 28, 34, 60, and 75
The least number means the LCM of the given numbers
According to the question
The prime factors of the numbers
⇒ 20 = 2 × 2 × 5
⇒ 28 = 2 × 2 × 7
⇒ 34 = 2 × 17
⇒ 60 = 2 × 2 × 3 × 5
⇒ 75 = 3 × 5 × 5
Hence, the required LCM = 2 × 2 × 3 × 5 × 5 × 7 × 17 = 35700