LCM for 120 and 360
What's the Least Common Multiple (LCM) of 120 and 360?
(Three hundred sixty)
Finding LCM for 120 and 360 using GCF's of these numbers
The first method to find LCM for numbers 120 and 360 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 120 and 360 is 120, so
LCM = (120 × 360) ÷ 120
LCM = 43200 ÷ 120
LCM = 360
Finding LCM for 120 and 360 by Listing Multiples
The second method to find LCM for numbers 120 and 360 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 120: 120, 240, 360, 480, 600
Multiples of 360: 360, 720, 1080, 1440, 1800, [...], 360
So the LCM for 120 and 360 is 360
Finding LCM for 120 and 360 by Prime Factorization
Another method to find LCM for numbers 120 and 360 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 120: 2, 2, 2, 3, 5 (exponent form: 23, 31, 51)
All Prime Factors of 360: 2, 2, 2, 3, 3, 5 (exponent form: 23, 32, 51)
23 × 32 × 51 = 360
Related Calculations
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/120--360">What is the LCM of 120 and 360? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 105 | 360 | 2520 |
| 106 | 360 | 19080 |
| 107 | 360 | 38520 |
| 108 | 360 | 1080 |
| 109 | 360 | 39240 |
| 110 | 360 | 3960 |
| 111 | 360 | 13320 |
| 112 | 360 | 5040 |
| 113 | 360 | 40680 |
| 114 | 360 | 6840 |
| 115 | 360 | 8280 |
| 116 | 360 | 10440 |
| 117 | 360 | 4680 |
| 118 | 360 | 21240 |
| 119 | 360 | 42840 |
| 120 | 360 | 360 |
| 121 | 360 | 43560 |
| 122 | 360 | 21960 |
| 123 | 360 | 14760 |
| 124 | 360 | 11160 |
| 125 | 360 | 9000 |
| 126 | 360 | 2520 |
| 127 | 360 | 45720 |
| 128 | 360 | 5760 |
| 129 | 360 | 15480 |
| 130 | 360 | 4680 |
| 131 | 360 | 47160 |
| 132 | 360 | 3960 |
| 133 | 360 | 47880 |
| 134 | 360 | 24120 |
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