LCM for 40 and 415
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What's the Least Common Multiple (LCM) of 40 and 415?
Answer
LCM of 40 and 415 is
3,320
First common multiples: 3,320; 6,640; 9,960; …
3,320 is divisible by both: 3,320 ÷ 40 = 83; 3,320 ÷ 415 = 8 — and 83 and 8 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/40 by 83 and of y/415 by 8.
40 = 23 × 5
415 = 5 × 83
| Prime | 40 | 415 | Highest power |
|---|---|---|---|
| 2 | 23 | — | 23 |
| 5 | 5 | 5 | 5 |
| 83 | — | 83 | 83 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 23 × 5 × 83 = 3,320
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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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