LCM for 120 and 168
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What's the Least Common Multiple (LCM) of 120 and 168?
Answer
LCM of 120 and 168 is
840
First common multiples: 840; 1,680; 2,520; …
840 is divisible by both: 840 ÷ 120 = 7, 840 ÷ 168 = 5 — and 7 and 5 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/120 by 7 and of y/168 by 5.
120 = 23 × 3 × 5
168 = 23 × 3 × 7
| Prime | 120 | 168 | Highest power |
|---|---|---|---|
| 2 | 23 | 23 | 23 |
| 3 | 3 | 3 | 3 |
| 5 | 5 | — | 5 |
| 7 | — | 7 | 7 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 23 × 3 × 5 × 7 = 840
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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 |
|---|---|---|
| 120 | 153 | 6,120 |
| 120 | 154 | 9,240 |
| 120 | 155 | 3,720 |
| 120 | 156 | 1,560 |
| 120 | 157 | 18,840 |
| 120 | 158 | 9,480 |
| 120 | 159 | 6,360 |
| 120 | 160 | 480 |
| 120 | 161 | 19,320 |
| 120 | 162 | 3,240 |
| 120 | 163 | 19,560 |
| 120 | 164 | 4,920 |
| 120 | 165 | 1,320 |
| 120 | 166 | 9,960 |
| 120 | 167 | 20,040 |
| 120 | 168 | 840 |
| 120 | 169 | 20,280 |
| 120 | 170 | 2,040 |
| 120 | 171 | 6,840 |
| 120 | 172 | 5,160 |
| 120 | 173 | 20,760 |
| 120 | 174 | 3,480 |
| 120 | 175 | 4,200 |
| 120 | 176 | 2,640 |
| 120 | 177 | 7,080 |
| 120 | 178 | 10,680 |
| 120 | 179 | 21,480 |
| 120 | 180 | 360 |
| 120 | 181 | 21,720 |
| 120 | 182 | 10,920 |