LCM for 78 and 130
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What's the Least Common Multiple (LCM) of 78 and 130?
Answer
LCM of 78 and 130 is
390
First common multiples: 390; 780; 1,170; …
390 is divisible by both: 390 ÷ 78 = 5, 390 ÷ 130 = 3 — and 5 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/78 by 5 and of y/130 by 3.
78 = 2 × 3 × 13
130 = 2 × 5 × 13
| Prime | 78 | 130 | Highest power |
|---|---|---|---|
| 2 | 2 | 2 | 2 |
| 3 | 3 | — | 3 |
| 5 | — | 5 | 5 |
| 13 | 13 | 13 | 13 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 2 × 3 × 5 × 13 = 390
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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 |
|---|---|---|
| 78 | 115 | 8,970 |
| 78 | 116 | 4,524 |
| 78 | 117 | 234 |
| 78 | 118 | 4,602 |
| 78 | 119 | 9,282 |
| 78 | 120 | 1,560 |
| 78 | 121 | 9,438 |
| 78 | 122 | 4,758 |
| 78 | 123 | 3,198 |
| 78 | 124 | 4,836 |
| 78 | 125 | 9,750 |
| 78 | 126 | 1,638 |
| 78 | 127 | 9,906 |
| 78 | 128 | 4,992 |
| 78 | 129 | 3,354 |
| 78 | 130 | 390 |
| 78 | 131 | 10,218 |
| 78 | 132 | 1,716 |
| 78 | 133 | 10,374 |
| 78 | 134 | 5,226 |
| 78 | 135 | 3,510 |
| 78 | 136 | 5,304 |
| 78 | 137 | 10,686 |
| 78 | 138 | 1,794 |
| 78 | 139 | 10,842 |
| 78 | 140 | 5,460 |
| 78 | 141 | 3,666 |
| 78 | 142 | 5,538 |
| 78 | 143 | 858 |
| 78 | 144 | 1,872 |