LCM for 60, 75 and 111
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What's the Least Common Multiple (LCM) of 60, 75 and 111?
Answer
LCM of 60, 75 and 111 is
11,100
First common multiples: 11,100; 22,200; 33,300; …
11,100 is divisible by all three: 11,100 ÷ 60 = 185; 11,100 ÷ 75 = 148; 11,100 ÷ 111 = 100 — and 185, 148 and 100 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/60 by 185 and of y/75 by 148 and of z/111 by 100.
60 = 22 × 3 × 5
75 = 3 × 52
111 = 3 × 37
| Prime | 60 | 75 | 111 | Highest power |
|---|---|---|---|---|
| 2 | 22 | — | — | 22 |
| 3 | 3 | 3 | 3 | 3 |
| 5 | 5 | 52 | — | 52 |
| 37 | — | — | 37 | 37 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 22 × 3 × 52 × 37 = 11,100
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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 |
|---|---|---|---|
| 60 | 75 | 96 | 2,400 |
| 60 | 75 | 97 | 29,100 |
| 60 | 75 | 98 | 14,700 |
| 60 | 75 | 99 | 9,900 |
| 60 | 75 | 100 | 300 |
| 60 | 75 | 101 | 30,300 |
| 60 | 75 | 102 | 5,100 |
| 60 | 75 | 103 | 30,900 |
| 60 | 75 | 104 | 7,800 |
| 60 | 75 | 105 | 2,100 |
| 60 | 75 | 106 | 15,900 |
| 60 | 75 | 107 | 32,100 |
| 60 | 75 | 108 | 2,700 |
| 60 | 75 | 109 | 32,700 |
| 60 | 75 | 110 | 3,300 |
| 60 | 75 | 111 | 11,100 |
| 60 | 75 | 112 | 8,400 |
| 60 | 75 | 113 | 33,900 |
| 60 | 75 | 114 | 5,700 |
| 60 | 75 | 115 | 6,900 |
| 60 | 75 | 116 | 8,700 |
| 60 | 75 | 117 | 11,700 |
| 60 | 75 | 118 | 17,700 |
| 60 | 75 | 119 | 35,700 |
| 60 | 75 | 120 | 600 |
| 60 | 75 | 121 | 36,300 |
| 60 | 75 | 122 | 18,300 |
| 60 | 75 | 123 | 12,300 |
| 60 | 75 | 124 | 9,300 |
| 60 | 75 | 125 | 1,500 |