LCM for 3 and 42
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What's the Least Common Multiple (LCM) of 3 and 42?
Answer
LCM of 3 and 42 is
42
First common multiples: 42, 84, 126, …
As a common denominator: multiply the top and bottom of x/3 by 14.
3 divides 42 (42 ÷ 3 = 14), so the LCM is the larger number itself.
3 — prime
42 = 2 × 3 × 7
| Prime | 3 | 42 | Highest power |
|---|---|---|---|
| 2 | — | 2 | 2 |
| 3 | 3 | 3 | 3 |
| 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 = 2 × 3 × 7 = 42
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See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
- Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers
- Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
- Multiples of a Number - List the first 10 multiples of any number from 1 to 999
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