LCM for 40 and 288
What's the Least Common Multiple (LCM) of 40 and 288?
(One thousand, four hundred forty)
Finding LCM for 40 and 288 using GCF's of these numbers
The first method to find LCM for numbers 40 and 288 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 40 and 288 is 8, so
LCM = (40 × 288) ÷ 8
LCM = 11520 ÷ 8
LCM = 1440
Finding LCM for 40 and 288 by Listing Multiples
The second method to find LCM for numbers 40 and 288 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 40: 40, 80, 120, 160, 200, 240, 280, 320, 360, 400, 440, 480, 520, 560, 600, 640, 680, 720, 760, 800, 840, 880, 920, 960, 1000, 1040, 1080, 1120, 1160, 1200, 1240, 1280, 1320, 1360, 1400, 1440, 1480, 1520
Multiples of 288: 288, 576, 864, 1152, 1440, 1728, 2016
So the LCM for 40 and 288 is 1440
Finding LCM for 40 and 288 by Prime Factorization
Another method to find LCM for numbers 40 and 288 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 40: 2, 2, 2, 5 (exponent form: 23, 51)
All Prime Factors of 288: 2, 2, 2, 2, 2, 3, 3 (exponent form: 25, 32)
25 × 51 × 32 = 1440
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/40--288">What is the LCM of 40 and 288? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 25 | 288 | 7200 |
| 26 | 288 | 3744 |
| 27 | 288 | 864 |
| 28 | 288 | 2016 |
| 29 | 288 | 8352 |
| 30 | 288 | 1440 |
| 31 | 288 | 8928 |
| 32 | 288 | 288 |
| 33 | 288 | 3168 |
| 34 | 288 | 4896 |
| 35 | 288 | 10080 |
| 36 | 288 | 288 |
| 37 | 288 | 10656 |
| 38 | 288 | 5472 |
| 39 | 288 | 3744 |
| 40 | 288 | 1440 |
| 41 | 288 | 11808 |
| 42 | 288 | 2016 |
| 43 | 288 | 12384 |
| 44 | 288 | 3168 |
| 45 | 288 | 1440 |
| 46 | 288 | 6624 |
| 47 | 288 | 13536 |
| 48 | 288 | 288 |
| 49 | 288 | 14112 |
| 50 | 288 | 7200 |
| 51 | 288 | 4896 |
| 52 | 288 | 3744 |
| 53 | 288 | 15264 |
| 54 | 288 | 864 |
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