LCM for 4, 9 and 36
"Least Common Multiple of 3 Numbers" Calculator
What's the Least Common Multiple (LCM) of 4, 9 and 36?
Answer
LCM of 4, 9 and 36 is
36
First common multiples: 36, 72, 108, …
36 is divisible by all three: 36 ÷ 4 = 9, 36 ÷ 9 = 4, 36 ÷ 36 = 1 — and 9, 4 and 1 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/4 by 9 and of y/9 by 4.
4 = 22
9 = 32
36 = 22 × 32
| Prime | 4 | 9 | 36 | Highest power |
|---|---|---|---|---|
| 2 | 22 | — | 22 | 22 |
| 3 | — | 32 | 32 | 32 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 22 × 32 = 36
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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 |
|---|---|---|---|
| 4 | 9 | 21 | 252 |
| 4 | 9 | 22 | 396 |
| 4 | 9 | 23 | 828 |
| 4 | 9 | 24 | 72 |
| 4 | 9 | 25 | 900 |
| 4 | 9 | 26 | 468 |
| 4 | 9 | 27 | 108 |
| 4 | 9 | 28 | 252 |
| 4 | 9 | 29 | 1,044 |
| 4 | 9 | 30 | 180 |
| 4 | 9 | 31 | 1,116 |
| 4 | 9 | 32 | 288 |
| 4 | 9 | 33 | 396 |
| 4 | 9 | 34 | 612 |
| 4 | 9 | 35 | 1,260 |
| 4 | 9 | 36 | 36 |
| 4 | 9 | 37 | 1,332 |
| 4 | 9 | 38 | 684 |
| 4 | 9 | 39 | 468 |
| 4 | 9 | 40 | 360 |
| 4 | 9 | 41 | 1,476 |
| 4 | 9 | 42 | 252 |
| 4 | 9 | 43 | 1,548 |
| 4 | 9 | 44 | 396 |
| 4 | 9 | 45 | 180 |
| 4 | 9 | 46 | 828 |
| 4 | 9 | 47 | 1,692 |
| 4 | 9 | 48 | 144 |
| 4 | 9 | 49 | 1,764 |
| 4 | 9 | 50 | 900 |