LCM for 40 and 460
What's the Least Common Multiple (LCM) of 40 and 460?
Answer
(Nine hundred twenty)
Finding LCM for 40 and 460 using GCF of these numbers
The first method to find LCM for numbers 40 and 460 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 40 and 460 is 20, so
LCM = (40 × 460) ÷ 20
LCM = 18400 ÷ 20
LCM = 920
Finding LCM for 40 and 460 by Listing Multiples
The second method to find LCM for numbers 40 and 460 is to list out the common multiples for both numbers and pick the first one that matches:
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
Multiples of 460: 460, 920, 1380, 1840
So the LCM for 40 and 460 is 920
Finding LCM for 40 and 460 by Prime Factorization
Another method to find LCM for numbers 40 and 460 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 460: 2, 2, 5, 23 (exponent form: 22, 51, 231)
23 × 51 × 231 = 920
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers

LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 25 | 460 | 2300 |
| 26 | 460 | 5980 |
| 27 | 460 | 12420 |
| 28 | 460 | 3220 |
| 29 | 460 | 13340 |
| 30 | 460 | 1380 |
| 31 | 460 | 14260 |
| 32 | 460 | 3680 |
| 33 | 460 | 15180 |
| 34 | 460 | 7820 |
| 35 | 460 | 3220 |
| 36 | 460 | 4140 |
| 37 | 460 | 17020 |
| 38 | 460 | 8740 |
| 39 | 460 | 17940 |
| 40 | 460 | 920 |
| 41 | 460 | 18860 |
| 42 | 460 | 9660 |
| 43 | 460 | 19780 |
| 44 | 460 | 5060 |
| 45 | 460 | 4140 |
| 46 | 460 | 460 |
| 47 | 460 | 21620 |
| 48 | 460 | 5520 |
| 49 | 460 | 22540 |
| 50 | 460 | 2300 |
| 51 | 460 | 23460 |
| 52 | 460 | 5980 |
| 53 | 460 | 24380 |
| 54 | 460 | 12420 |
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