LCM for 8, 24 and 64
"Least Common Multiple of 3 Numbers" Calculator
What's the Least Common Multiple (LCM) of 8, 24 and 64?
Answer
LCM of 8, 24 and 64 is
192
First common multiples: 192, 384, 576, …
192 is divisible by all three: 192 ÷ 8 = 24, 192 ÷ 24 = 8, 192 ÷ 64 = 3 — and 24, 8 and 3 have no factor but 1 common to all of them, so no smaller number is. As a common denominator: multiply the top and bottom of x/8 by 24 and of y/24 by 8 and of z/64 by 3.
8 = 23
24 = 23 × 3
64 = 26
| Prime | 8 | 24 | 64 | Highest power |
|---|---|---|---|---|
| 2 | 23 | 23 | 26 | 26 |
| 3 | — | 3 | — | 3 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 26 × 3 = 192
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See Also
- Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
- Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
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LCM Table
| 1st | 2nd | 3rd | LCM |
|---|---|---|---|
| 8 | 24 | 49 | 1,176 |
| 8 | 24 | 50 | 600 |
| 8 | 24 | 51 | 408 |
| 8 | 24 | 52 | 312 |
| 8 | 24 | 53 | 1,272 |
| 8 | 24 | 54 | 216 |
| 8 | 24 | 55 | 1,320 |
| 8 | 24 | 56 | 168 |
| 8 | 24 | 57 | 456 |
| 8 | 24 | 58 | 696 |
| 8 | 24 | 59 | 1,416 |
| 8 | 24 | 60 | 120 |
| 8 | 24 | 61 | 1,464 |
| 8 | 24 | 62 | 744 |
| 8 | 24 | 63 | 504 |
| 8 | 24 | 64 | 192 |
| 8 | 24 | 65 | 1,560 |
| 8 | 24 | 66 | 264 |
| 8 | 24 | 67 | 1,608 |
| 8 | 24 | 68 | 408 |
| 8 | 24 | 69 | 552 |
| 8 | 24 | 70 | 840 |
| 8 | 24 | 71 | 1,704 |
| 8 | 24 | 72 | 72 |
| 8 | 24 | 73 | 1,752 |
| 8 | 24 | 74 | 888 |
| 8 | 24 | 75 | 600 |
| 8 | 24 | 76 | 456 |
| 8 | 24 | 77 | 1,848 |
| 8 | 24 | 78 | 312 |