LCM for 100 and 340
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What's the Least Common Multiple (LCM) of 100 and 340?
Answer
LCM of 100 and 340 is
1,700
First common multiples: 1,700; 3,400; 5,100; …
1,700 is divisible by both: 1,700 ÷ 100 = 17; 1,700 ÷ 340 = 5 — and 17 and 5 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/100 by 17 and of y/340 by 5.
100 = 22 × 52
340 = 22 × 5 × 17
| Prime | 100 | 340 | Highest power |
|---|---|---|---|
| 2 | 22 | 22 | 22 |
| 5 | 52 | 5 | 52 |
| 17 | — | 17 | 17 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 22 × 52 × 17 = 1,700
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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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