LCM for 40 and 384
What's the Least Common Multiple (LCM) of 40 and 384?
(One thousand, nine hundred twenty)
Finding LCM for 40 and 384 using GCF's of these numbers
The first method to find LCM for numbers 40 and 384 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 40 and 384 is 8, so
LCM = (40 × 384) ÷ 8
LCM = 15360 ÷ 8
LCM = 1920
Finding LCM for 40 and 384 by Listing Multiples
The second method to find LCM for numbers 40 and 384 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, 1560, 1600, 1640, 1680, 1720, 1760, 1800, 1840, 1880, 1920, 1960, 2000
Multiples of 384: 384, 768, 1152, 1536, 1920, 2304, 2688
So the LCM for 40 and 384 is 1920
Finding LCM for 40 and 384 by Prime Factorization
Another method to find LCM for numbers 40 and 384 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 384: 2, 2, 2, 2, 2, 2, 2, 3 (exponent form: 27, 31)
27 × 51 × 31 = 1920
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/40--384">What is the LCM of 40 and 384? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 25 | 384 | 9600 |
| 26 | 384 | 4992 |
| 27 | 384 | 3456 |
| 28 | 384 | 2688 |
| 29 | 384 | 11136 |
| 30 | 384 | 1920 |
| 31 | 384 | 11904 |
| 32 | 384 | 384 |
| 33 | 384 | 4224 |
| 34 | 384 | 6528 |
| 35 | 384 | 13440 |
| 36 | 384 | 1152 |
| 37 | 384 | 14208 |
| 38 | 384 | 7296 |
| 39 | 384 | 4992 |
| 40 | 384 | 1920 |
| 41 | 384 | 15744 |
| 42 | 384 | 2688 |
| 43 | 384 | 16512 |
| 44 | 384 | 4224 |
| 45 | 384 | 5760 |
| 46 | 384 | 8832 |
| 47 | 384 | 18048 |
| 48 | 384 | 384 |
| 49 | 384 | 18816 |
| 50 | 384 | 9600 |
| 51 | 384 | 6528 |
| 52 | 384 | 4992 |
| 53 | 384 | 20352 |
| 54 | 384 | 3456 |
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