LCM for 51 and 119
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 51 and 119?
Answer
LCM of 51 and 119 is
357
First common multiples: 357; 714; 1,071; …
357 is divisible by both: 357 ÷ 51 = 7, 357 ÷ 119 = 3 — and 7 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/51 by 7 and of y/119 by 3.
51 = 3 × 17
119 = 7 × 17
| Prime | 51 | 119 | Highest power |
|---|---|---|---|
| 3 | 3 | — | 3 |
| 7 | — | 7 | 7 |
| 17 | 17 | 17 | 17 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 3 × 7 × 17 = 357
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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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LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 51 | 104 | 5,304 |
| 51 | 105 | 1,785 |
| 51 | 106 | 5,406 |
| 51 | 107 | 5,457 |
| 51 | 108 | 1,836 |
| 51 | 109 | 5,559 |
| 51 | 110 | 5,610 |
| 51 | 111 | 1,887 |
| 51 | 112 | 5,712 |
| 51 | 113 | 5,763 |
| 51 | 114 | 1,938 |
| 51 | 115 | 5,865 |
| 51 | 116 | 5,916 |
| 51 | 117 | 1,989 |
| 51 | 118 | 6,018 |
| 51 | 119 | 357 |
| 51 | 120 | 2,040 |
| 51 | 121 | 6,171 |
| 51 | 122 | 6,222 |
| 51 | 123 | 2,091 |
| 51 | 124 | 6,324 |
| 51 | 125 | 6,375 |
| 51 | 126 | 2,142 |
| 51 | 127 | 6,477 |
| 51 | 128 | 6,528 |
| 51 | 129 | 2,193 |
| 51 | 130 | 6,630 |
| 51 | 131 | 6,681 |
| 51 | 132 | 2,244 |
| 51 | 133 | 6,783 |