LCM for 98 and 105
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What's the Least Common Multiple (LCM) of 98 and 105?
Answer
LCM of 98 and 105 is
1,470
First common multiples: 1,470; 2,940; 4,410; …
1,470 is divisible by both: 1,470 ÷ 98 = 15; 1,470 ÷ 105 = 14 — and 15 and 14 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/98 by 15 and of y/105 by 14.
98 = 2 × 72
105 = 3 × 5 × 7
| Prime | 98 | 105 | Highest power |
|---|---|---|---|
| 2 | 2 | — | 2 |
| 3 | — | 3 | 3 |
| 5 | — | 5 | 5 |
| 7 | 72 | 7 | 72 |
— = 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 × 72 = 1,470
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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 |
|---|---|---|
| 98 | 90 | 4,410 |
| 98 | 91 | 1,274 |
| 98 | 92 | 4,508 |
| 98 | 93 | 9,114 |
| 98 | 94 | 4,606 |
| 98 | 95 | 9,310 |
| 98 | 96 | 4,704 |
| 98 | 97 | 9,506 |
| 98 | 98 | 98 |
| 98 | 99 | 9,702 |
| 98 | 100 | 4,900 |
| 98 | 101 | 9,898 |
| 98 | 102 | 4,998 |
| 98 | 103 | 10,094 |
| 98 | 104 | 5,096 |
| 98 | 105 | 1,470 |
| 98 | 106 | 5,194 |
| 98 | 107 | 10,486 |
| 98 | 108 | 5,292 |
| 98 | 109 | 10,682 |
| 98 | 110 | 5,390 |
| 98 | 111 | 10,878 |
| 98 | 112 | 784 |
| 98 | 113 | 11,074 |
| 98 | 114 | 5,586 |
| 98 | 115 | 11,270 |
| 98 | 116 | 5,684 |
| 98 | 117 | 11,466 |
| 98 | 118 | 5,782 |
| 98 | 119 | 1,666 |