LCM for 70 and 305
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What's the Least Common Multiple (LCM) of 70 and 305?
Answer
LCM of 70 and 305 is
4,270
First common multiples: 4,270; 8,540; 12,810; …
4,270 is divisible by both: 4,270 ÷ 70 = 61; 4,270 ÷ 305 = 14 — and 61 and 14 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/70 by 61 and of y/305 by 14.
70 = 2 × 5 × 7
305 = 5 × 61
| Prime | 70 | 305 | Highest power |
|---|---|---|---|
| 2 | 2 | — | 2 |
| 5 | 5 | 5 | 5 |
| 7 | 7 | — | 7 |
| 61 | — | 61 | 61 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 2 × 5 × 7 × 61 = 4,270
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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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