LCM for 42 and 98
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What's the Least Common Multiple (LCM) of 42 and 98?
Answer
LCM of 42 and 98 is
294
First common multiples: 294, 588, 882, …
294 is divisible by both: 294 ÷ 42 = 7, 294 ÷ 98 = 3 — and 7 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/42 by 7 and of y/98 by 3.
42 = 2 × 3 × 7
98 = 2 × 72
| Prime | 42 | 98 | Highest power |
|---|---|---|---|
| 2 | 2 | 2 | 2 |
| 3 | 3 | — | 3 |
| 7 | 7 | 72 | 72 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 2 × 3 × 72 = 294
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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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