LCM for 5, 10 and 25
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What's the Least Common Multiple (LCM) of 5, 10 and 25?
Answer
LCM of 5, 10 and 25 is
50
First common multiples: 50, 100, 150, …
50 is divisible by all three: 50 ÷ 5 = 10, 50 ÷ 10 = 5, 50 ÷ 25 = 2 — and 10, 5 and 2 have no factor but 1 common to all of them, so no smaller number is. As a common denominator: multiply the top and bottom of x/5 by 10 and of y/10 by 5 and of z/25 by 2.
5 — prime
10 = 2 × 5
25 = 52
| Prime | 5 | 10 | 25 | Highest power |
|---|---|---|---|---|
| 2 | — | 2 | — | 2 |
| 5 | 5 | 5 | 52 | 52 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 2 × 52 = 50
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See Also
- Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
- Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
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