LCM for 4, 9 and 16
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What's the Least Common Multiple (LCM) of 4, 9 and 16?
Answer
LCM of 4, 9 and 16 is
144
First common multiples: 144, 288, 432, …
144 is divisible by all three: 144 ÷ 4 = 36, 144 ÷ 9 = 16, 144 ÷ 16 = 9 — and 36, 16 and 9 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/4 by 36 and of y/9 by 16 and of z/16 by 9.
4 = 22
9 = 32
16 = 24
| Prime | 4 | 9 | 16 | Highest power |
|---|---|---|---|---|
| 2 | 22 | — | 24 | 24 |
| 3 | — | 32 | — | 32 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 24 × 32 = 144
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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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