LCM for 10, 20 and 25
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What's the Least Common Multiple (LCM) of 10, 20 and 25?
Answer
LCM of 10, 20 and 25 is
100
First common multiples: 100, 200, 300, …
100 is divisible by all three: 100 ÷ 10 = 10, 100 ÷ 20 = 5, 100 ÷ 25 = 4 — and 10, 5 and 4 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/10 by 10 and of y/20 by 5 and of z/25 by 4.
10 = 2 × 5
20 = 22 × 5
25 = 52
| Prime | 10 | 20 | 25 | Highest power |
|---|---|---|---|---|
| 2 | 2 | 22 | — | 22 |
| 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 = 22 × 52 = 100
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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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