LCM for 144 and 240
What's the Least Common Multiple (LCM) of 144 and 240?
(Seven hundred twenty)
Finding LCM for 144 and 240 using GCF's of these numbers
The first method to find LCM for numbers 144 and 240 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 144 and 240 is 48, so
LCM = (144 × 240) ÷ 48
LCM = 34560 ÷ 48
LCM = 720
Finding LCM for 144 and 240 by Listing Multiples
The second method to find LCM for numbers 144 and 240 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 144: 144, 288, 432, 576, 720, 864, 1008
Multiples of 240: 240, 480, 720, 960, 1200
So the LCM for 144 and 240 is 720
Finding LCM for 144 and 240 by Prime Factorization
Another method to find LCM for numbers 144 and 240 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 144: 2, 2, 2, 2, 3, 3 (exponent form: 24, 32)
All Prime Factors of 240: 2, 2, 2, 2, 3, 5 (exponent form: 24, 31, 51)
24 × 32 × 51 = 720
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/144--240">What is the LCM of 144 and 240? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 129 | 240 | 10320 |
| 130 | 240 | 3120 |
| 131 | 240 | 31440 |
| 132 | 240 | 2640 |
| 133 | 240 | 31920 |
| 134 | 240 | 16080 |
| 135 | 240 | 2160 |
| 136 | 240 | 4080 |
| 137 | 240 | 32880 |
| 138 | 240 | 5520 |
| 139 | 240 | 33360 |
| 140 | 240 | 1680 |
| 141 | 240 | 11280 |
| 142 | 240 | 17040 |
| 143 | 240 | 34320 |
| 144 | 240 | 720 |
| 145 | 240 | 6960 |
| 146 | 240 | 17520 |
| 147 | 240 | 11760 |
| 148 | 240 | 8880 |
| 149 | 240 | 35760 |
| 150 | 240 | 1200 |
| 151 | 240 | 36240 |
| 152 | 240 | 4560 |
| 153 | 240 | 12240 |
| 154 | 240 | 18480 |
| 155 | 240 | 7440 |
| 156 | 240 | 3120 |
| 157 | 240 | 37680 |
| 158 | 240 | 18960 |
About "Least Common Multiple" Calculator
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers