LCM for 224 and 308
What's the Least Common Multiple (LCM) of 224 and 308?
(Two thousand, four hundred sixty-four)
Finding LCM for 224 and 308 using GCF's of these numbers
The first method to find LCM for numbers 224 and 308 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 224 and 308 is 28, so
LCM = (224 × 308) ÷ 28
LCM = 68992 ÷ 28
LCM = 2464
Finding LCM for 224 and 308 by Listing Multiples
The second method to find LCM for numbers 224 and 308 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 224: 224, 448, 672, 896, 1120, 1344, 1568, 1792, 2016, 2240, 2464, 2688, 2912
Multiples of 308: 308, 616, 924, 1232, 1540, 1848, 2156, 2464, 2772, 3080
So the LCM for 224 and 308 is 2464
Finding LCM for 224 and 308 by Prime Factorization
Another method to find LCM for numbers 224 and 308 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 224: 2, 2, 2, 2, 2, 7 (exponent form: 25, 71)
All Prime Factors of 308: 2, 2, 7, 11 (exponent form: 22, 71, 111)
25 × 71 × 111 = 2464
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/224--308">What is the LCM of 224 and 308? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 209 | 308 | 5852 |
| 210 | 308 | 4620 |
| 211 | 308 | 64988 |
| 212 | 308 | 16324 |
| 213 | 308 | 65604 |
| 214 | 308 | 32956 |
| 215 | 308 | 66220 |
| 216 | 308 | 16632 |
| 217 | 308 | 9548 |
| 218 | 308 | 33572 |
| 219 | 308 | 67452 |
| 220 | 308 | 1540 |
| 221 | 308 | 68068 |
| 222 | 308 | 34188 |
| 223 | 308 | 68684 |
| 224 | 308 | 2464 |
| 225 | 308 | 69300 |
| 226 | 308 | 34804 |
| 227 | 308 | 69916 |
| 228 | 308 | 17556 |
| 229 | 308 | 70532 |
| 230 | 308 | 35420 |
| 231 | 308 | 924 |
| 232 | 308 | 17864 |
| 233 | 308 | 71764 |
| 234 | 308 | 36036 |
| 235 | 308 | 72380 |
| 236 | 308 | 18172 |
| 237 | 308 | 72996 |
| 238 | 308 | 5236 |
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