LCM for 10, 16 and 21
"Least Common Multiple of 3 Numbers" Calculator
What's the Least Common Multiple (LCM) of 10, 16 and 21?
Answer
LCM of 10, 16 and 21 is
1,680
First common multiples: 1,680; 3,360; 5,040; …
1,680 is divisible by all three: 1,680 ÷ 10 = 168; 1,680 ÷ 16 = 105; 1,680 ÷ 21 = 80 — and 168, 105 and 80 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 168 and of y/16 by 105 and of z/21 by 80.
10 = 2 × 5
16 = 24
21 = 3 × 7
| Prime | 10 | 16 | 21 | Highest power |
|---|---|---|---|---|
| 2 | 2 | 24 | — | 24 |
| 3 | — | — | 3 | 3 |
| 5 | 5 | — | — | 5 |
| 7 | — | — | 7 | 7 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 24 × 3 × 5 × 7 = 1,680
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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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