LCM for 70 and 450
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What's the Least Common Multiple (LCM) of 70 and 450?
Answer
LCM of 70 and 450 is
3,150
First common multiples: 3,150; 6,300; 9,450; …
3,150 is divisible by both: 3,150 ÷ 70 = 45; 3,150 ÷ 450 = 7 — and 45 and 7 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/70 by 45 and of y/450 by 7.
70 = 2 × 5 × 7
450 = 2 × 32 × 52
| Prime | 70 | 450 | Highest power |
|---|---|---|---|
| 2 | 2 | 2 | 2 |
| 3 | — | 32 | 32 |
| 5 | 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 = 2 × 32 × 52 × 7 = 3,150
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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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