LCM for 70 and 275
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What's the Least Common Multiple (LCM) of 70 and 275?
Answer
LCM of 70 and 275 is
3,850
First common multiples: 3,850; 7,700; 11,550; …
3,850 is divisible by both: 3,850 ÷ 70 = 55; 3,850 ÷ 275 = 14 — and 55 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 55 and of y/275 by 14.
70 = 2 × 5 × 7
275 = 52 × 11
| Prime | 70 | 275 | Highest power |
|---|---|---|---|
| 2 | 2 | — | 2 |
| 5 | 5 | 52 | 52 |
| 7 | 7 | — | 7 |
| 11 | — | 11 | 11 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 2 × 52 × 7 × 11 = 3,850
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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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