LCM for 8, 9 and 25
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What's the Least Common Multiple (LCM) of 8, 9 and 25?
Answer
LCM of 8, 9 and 25 is
1,800
First common multiples: 1,800; 3,600; 5,400; …
1,800 is divisible by all three: 1,800 ÷ 8 = 225; 1,800 ÷ 9 = 200; 1,800 ÷ 25 = 72 — and 225, 200 and 72 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/8 by 225 and of y/9 by 200 and of z/25 by 72.
8 = 23
9 = 32
25 = 52
| Prime | 8 | 9 | 25 | Highest power |
|---|---|---|---|---|
| 2 | 23 | — | — | 23 |
| 3 | — | 32 | — | 32 |
| 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 = 23 × 32 × 52 = 1,800
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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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