LCM for 312 and 468
What's the Least Common Multiple (LCM) of 312 and 468?
(Nine hundred thirty-six)
Finding LCM for 312 and 468 using GCF's of these numbers
The first method to find LCM for numbers 312 and 468 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 312 and 468 is 156, so
LCM = (312 × 468) ÷ 156
LCM = 146016 ÷ 156
LCM = 936
Finding LCM for 312 and 468 by Listing Multiples
The second method to find LCM for numbers 312 and 468 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 312: 312, 624, 936, 1248, 1560
Multiples of 468: 468, 936, 1404, 1872
So the LCM for 312 and 468 is 936
Finding LCM for 312 and 468 by Prime Factorization
Another method to find LCM for numbers 312 and 468 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 312: 2, 2, 2, 3, 13 (exponent form: 23, 31, 131)
All Prime Factors of 468: 2, 2, 3, 3, 13 (exponent form: 22, 32, 131)
23 × 32 × 131 = 936
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/312--468">What is the LCM of 312 and 468? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 297 | 468 | 15444 |
| 298 | 468 | 69732 |
| 299 | 468 | 10764 |
| 300 | 468 | 11700 |
| 301 | 468 | 140868 |
| 302 | 468 | 70668 |
| 303 | 468 | 47268 |
| 304 | 468 | 35568 |
| 305 | 468 | 142740 |
| 306 | 468 | 7956 |
| 307 | 468 | 143676 |
| 308 | 468 | 36036 |
| 309 | 468 | 48204 |
| 310 | 468 | 72540 |
| 311 | 468 | 145548 |
| 312 | 468 | 936 |
| 313 | 468 | 146484 |
| 314 | 468 | 73476 |
| 315 | 468 | 16380 |
| 316 | 468 | 36972 |
| 317 | 468 | 148356 |
| 318 | 468 | 24804 |
| 319 | 468 | 149292 |
| 320 | 468 | 37440 |
| 321 | 468 | 50076 |
| 322 | 468 | 75348 |
| 323 | 468 | 151164 |
| 324 | 468 | 4212 |
| 325 | 468 | 11700 |
| 326 | 468 | 76284 |
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