LCM for 40 and 192
What's the Least Common Multiple (LCM) of 40 and 192?
(Nine hundred sixty)
Finding LCM for 40 and 192 using GCF's of these numbers
The first method to find LCM for numbers 40 and 192 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 40 and 192 is 8, so
LCM = (40 × 192) ÷ 8
LCM = 7680 ÷ 8
LCM = 960
Finding LCM for 40 and 192 by Listing Multiples
The second method to find LCM for numbers 40 and 192 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
Multiples of 192: 192, 384, 576, 768, 960, 1152, 1344
So the LCM for 40 and 192 is 960
Finding LCM for 40 and 192 by Prime Factorization
Another method to find LCM for numbers 40 and 192 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 192: 2, 2, 2, 2, 2, 2, 3 (exponent form: 26, 31)
26 × 51 × 31 = 960
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--192">What is the LCM of 40 and 192? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 25 | 192 | 4800 |
| 26 | 192 | 2496 |
| 27 | 192 | 1728 |
| 28 | 192 | 1344 |
| 29 | 192 | 5568 |
| 30 | 192 | 960 |
| 31 | 192 | 5952 |
| 32 | 192 | 192 |
| 33 | 192 | 2112 |
| 34 | 192 | 3264 |
| 35 | 192 | 6720 |
| 36 | 192 | 576 |
| 37 | 192 | 7104 |
| 38 | 192 | 3648 |
| 39 | 192 | 2496 |
| 40 | 192 | 960 |
| 41 | 192 | 7872 |
| 42 | 192 | 1344 |
| 43 | 192 | 8256 |
| 44 | 192 | 2112 |
| 45 | 192 | 2880 |
| 46 | 192 | 4416 |
| 47 | 192 | 9024 |
| 48 | 192 | 192 |
| 49 | 192 | 9408 |
| 50 | 192 | 4800 |
| 51 | 192 | 3264 |
| 52 | 192 | 2496 |
| 53 | 192 | 10176 |
| 54 | 192 | 1728 |
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