LCM for 480 and 720
What's the Least Common Multiple (LCM) of 480 and 720?
(One thousand, four hundred forty)
Finding LCM for 480 and 720 using GCF's of these numbers
The first method to find LCM for numbers 480 and 720 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 480 and 720 is 240, so
LCM = (480 × 720) ÷ 240
LCM = 345600 ÷ 240
LCM = 1440
Finding LCM for 480 and 720 by Listing Multiples
The second method to find LCM for numbers 480 and 720 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 480: 480, 960, 1440, 1920, 2400
Multiples of 720: 720, 1440, 2160, 2880
So the LCM for 480 and 720 is 1440
Finding LCM for 480 and 720 by Prime Factorization
Another method to find LCM for numbers 480 and 720 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 480: 2, 2, 2, 2, 2, 3, 5 (exponent form: 25, 31, 51)
All Prime Factors of 720: 2, 2, 2, 2, 3, 3, 5 (exponent form: 24, 32, 51)
25 × 32 × 51 = 1440
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/480--720">What is the LCM of 480 and 720? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 465 | 720 | 22320 |
| 466 | 720 | 167760 |
| 467 | 720 | 336240 |
| 468 | 720 | 9360 |
| 469 | 720 | 337680 |
| 470 | 720 | 33840 |
| 471 | 720 | 113040 |
| 472 | 720 | 42480 |
| 473 | 720 | 340560 |
| 474 | 720 | 56880 |
| 475 | 720 | 68400 |
| 476 | 720 | 85680 |
| 477 | 720 | 38160 |
| 478 | 720 | 172080 |
| 479 | 720 | 344880 |
| 480 | 720 | 1440 |
| 481 | 720 | 346320 |
| 482 | 720 | 173520 |
| 483 | 720 | 115920 |
| 484 | 720 | 87120 |
| 485 | 720 | 69840 |
| 486 | 720 | 19440 |
| 487 | 720 | 350640 |
| 488 | 720 | 43920 |
| 489 | 720 | 117360 |
| 490 | 720 | 35280 |
| 491 | 720 | 353520 |
| 492 | 720 | 29520 |
| 493 | 720 | 354960 |
| 494 | 720 | 177840 |
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