LCM for 3 and 114
What's the Least Common Multiple (LCM) of 3 and 114?
(One hundred fourteen)
Finding LCM for 3 and 114 using GCF's of these numbers
The first method to find LCM for numbers 3 and 114 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 3 and 114 is 3, so
LCM = (3 × 114) ÷ 3
LCM = 342 ÷ 3
LCM = 114
Finding LCM for 3 and 114 by Listing Multiples
The second method to find LCM for numbers 3 and 114 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96, 99, 102, 105, 108, 111, 114, 117, 120
Multiples of 114: 114, 228, 342, 456, 570, 684, 798, 912, 1026, 1140, 1254, 1368, 1482, 1596, 1710, 1824, 1938, 2052, 2166, 2280, 2394, 2508, 2622, 2736, 2850, 2964, 3078, 3192, 3306, 3420, 3534, 3648, 3762, 3876, 3990, 4104, 4218, 4332, 4446, 4560, [...], 114
So the LCM for 3 and 114 is 114
Finding LCM for 3 and 114 by Prime Factorization
Another method to find LCM for numbers 3 and 114 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 3: 3 (exponent form: 31)
All Prime Factors of 114: 2, 3, 19 (exponent form: 21, 31, 191)
31 × 21 × 191 = 114
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/3--114">What is the LCM of 3 and 114? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 1 | 114 | 114 |
| 2 | 114 | 114 |
| 3 | 114 | 114 |
| 4 | 114 | 228 |
| 5 | 114 | 570 |
| 6 | 114 | 114 |
| 7 | 114 | 798 |
| 8 | 114 | 456 |
| 9 | 114 | 342 |
| 10 | 114 | 570 |
| 11 | 114 | 1254 |
| 12 | 114 | 228 |
| 13 | 114 | 1482 |
| 14 | 114 | 798 |
| 15 | 114 | 570 |
| 16 | 114 | 912 |
| 17 | 114 | 1938 |
| 18 | 114 | 342 |
| 19 | 114 | 114 |
| 20 | 114 | 1140 |
| 21 | 114 | 798 |
| 22 | 114 | 1254 |
| 23 | 114 | 2622 |
| 24 | 114 | 456 |
| 25 | 114 | 2850 |
| 26 | 114 | 1482 |
| 27 | 114 | 1026 |
| 28 | 114 | 1596 |
| 29 | 114 | 3306 |
| 30 | 114 | 570 |
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