LCM for 16, 20 and 40
"Least Common Multiple of 3 Numbers" Calculator
What's the Least Common Multiple (LCM) of 16, 20 and 40?
Answer
LCM of 16, 20 and 40 is
80
First common multiples: 80, 160, 240, …
80 is divisible by all three: 80 ÷ 16 = 5, 80 ÷ 20 = 4, 80 ÷ 40 = 2 — and 5, 4 and 2 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/16 by 5 and of y/20 by 4 and of z/40 by 2.
16 = 24
20 = 22 × 5
40 = 23 × 5
| Prime | 16 | 20 | 40 | Highest power |
|---|---|---|---|---|
| 2 | 24 | 22 | 23 | 24 |
| 5 | — | 5 | 5 | 5 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 24 × 5 = 80
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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 |
|---|---|---|---|
| 16 | 20 | 25 | 400 |
| 16 | 20 | 26 | 1,040 |
| 16 | 20 | 27 | 2,160 |
| 16 | 20 | 28 | 560 |
| 16 | 20 | 29 | 2,320 |
| 16 | 20 | 30 | 240 |
| 16 | 20 | 31 | 2,480 |
| 16 | 20 | 32 | 160 |
| 16 | 20 | 33 | 2,640 |
| 16 | 20 | 34 | 1,360 |
| 16 | 20 | 35 | 560 |
| 16 | 20 | 36 | 720 |
| 16 | 20 | 37 | 2,960 |
| 16 | 20 | 38 | 1,520 |
| 16 | 20 | 39 | 3,120 |
| 16 | 20 | 40 | 80 |
| 16 | 20 | 41 | 3,280 |
| 16 | 20 | 42 | 1,680 |
| 16 | 20 | 43 | 3,440 |
| 16 | 20 | 44 | 880 |
| 16 | 20 | 45 | 720 |
| 16 | 20 | 46 | 1,840 |
| 16 | 20 | 47 | 3,760 |
| 16 | 20 | 48 | 240 |
| 16 | 20 | 49 | 3,920 |
| 16 | 20 | 50 | 400 |
| 16 | 20 | 51 | 4,080 |
| 16 | 20 | 52 | 1,040 |
| 16 | 20 | 53 | 4,240 |
| 16 | 20 | 54 | 2,160 |