Solution:
Given:
Given numbers are 15, 25 and 125.
Concept Used:
LCM (Least Common Multiple): LCM of x and y is the least common multiple of x and y which is perfectly divisible by both x and y
For Example,
3 → Multiple of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, …
4 → Multiple of 4 are 4, 8, 12, 16, 20, 24, 28, 32, …
Here common are 12 and 24. But of these 12 is least
∴ LCM of 3 and 4 is 12
Calculation:
⇒ 15 = 5 × 3
⇒ 25 = 5 × 5
⇒ 125 = 5 × 5 × 5
LCM of 15, 25 and 125 is 5 × 5 × 5 × 3 = 375
∴ The required LCM of 15, 25 and 125 is 375
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