LCM for 56 and 308
What's the Least Common Multiple (LCM) of 56 and 308?
(Six hundred sixteen)
Finding LCM for 56 and 308 using GCF's of these numbers
The first method to find LCM for numbers 56 and 308 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 56 and 308 is 28, so
LCM = (56 × 308) ÷ 28
LCM = 17248 ÷ 28
LCM = 616
Finding LCM for 56 and 308 by Listing Multiples
The second method to find LCM for numbers 56 and 308 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 56: 56, 112, 168, 224, 280, 336, 392, 448, 504, 560, 616, 672, 728
Multiples of 308: 308, 616, 924, 1232
So the LCM for 56 and 308 is 616
Finding LCM for 56 and 308 by Prime Factorization
Another method to find LCM for numbers 56 and 308 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 56: 2, 2, 2, 7 (exponent form: 23, 71)
All Prime Factors of 308: 2, 2, 7, 11 (exponent form: 22, 71, 111)
23 × 71 × 111 = 616
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/56--308">What is the LCM of 56 and 308? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 41 | 308 | 12628 |
| 42 | 308 | 924 |
| 43 | 308 | 13244 |
| 44 | 308 | 308 |
| 45 | 308 | 13860 |
| 46 | 308 | 7084 |
| 47 | 308 | 14476 |
| 48 | 308 | 3696 |
| 49 | 308 | 2156 |
| 50 | 308 | 7700 |
| 51 | 308 | 15708 |
| 52 | 308 | 4004 |
| 53 | 308 | 16324 |
| 54 | 308 | 8316 |
| 55 | 308 | 1540 |
| 56 | 308 | 616 |
| 57 | 308 | 17556 |
| 58 | 308 | 8932 |
| 59 | 308 | 18172 |
| 60 | 308 | 4620 |
| 61 | 308 | 18788 |
| 62 | 308 | 9548 |
| 63 | 308 | 2772 |
| 64 | 308 | 4928 |
| 65 | 308 | 20020 |
| 66 | 308 | 924 |
| 67 | 308 | 20636 |
| 68 | 308 | 5236 |
| 69 | 308 | 21252 |
| 70 | 308 | 1540 |
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