LCM for 56 and 100
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What's the Least Common Multiple (LCM) of 56 and 100?
Answer
LCM of 56 and 100 is
1,400
First common multiples: 1,400; 2,800; 4,200; …
1,400 is divisible by both: 1,400 ÷ 56 = 25; 1,400 ÷ 100 = 14 — and 25 and 14 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/56 by 25 and of y/100 by 14.
56 = 23 × 7
100 = 22 × 52
| Prime | 56 | 100 | Highest power |
|---|---|---|---|
| 2 | 23 | 22 | 23 |
| 5 | — | 52 | 52 |
| 7 | 7 | — | 7 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 23 × 52 × 7 = 1,400
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- 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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