LCM for 10 and 500
What's the Least Common Multiple (LCM) of 10 and 500?
(Five hundred)
Finding LCM for 10 and 500 using GCF's of these numbers
The first method to find LCM for numbers 10 and 500 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 10 and 500 is 10, so
LCM = (10 × 500) ÷ 10
LCM = 5000 ÷ 10
LCM = 500
Finding LCM for 10 and 500 by Listing Multiples
The second method to find LCM for numbers 10 and 500 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 510, 520
Multiples of 500: 500, 1000, 1500, 2000, 2500, 3000, 3500, 4000, 4500, 5000, 5500, 6000, 6500, 7000, 7500, 8000, 8500, 9000, 9500, 10000, 10500, 11000, 11500, 12000, 12500, 13000, 13500, 14000, 14500, 15000, 15500, 16000, 16500, 17000, 17500, 18000, 18500, 19000, 19500, 20000, 20500, 21000, 21500, 22000, 22500, 23000, 23500, 24000, 24500, 25000, 25500, 26000, [...], 500
So the LCM for 10 and 500 is 500
Finding LCM for 10 and 500 by Prime Factorization
Another method to find LCM for numbers 10 and 500 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 10: 2, 5 (exponent form: 21, 51)
All Prime Factors of 500: 2, 2, 5, 5, 5 (exponent form: 22, 53)
22 × 53 = 500
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/10--500">What is the LCM of 10 and 500? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 1 | 500 | 500 |
| 2 | 500 | 500 |
| 3 | 500 | 1500 |
| 4 | 500 | 500 |
| 5 | 500 | 500 |
| 6 | 500 | 1500 |
| 7 | 500 | 3500 |
| 8 | 500 | 1000 |
| 9 | 500 | 4500 |
| 10 | 500 | 500 |
| 11 | 500 | 5500 |
| 12 | 500 | 1500 |
| 13 | 500 | 6500 |
| 14 | 500 | 3500 |
| 15 | 500 | 1500 |
| 16 | 500 | 2000 |
| 17 | 500 | 8500 |
| 18 | 500 | 4500 |
| 19 | 500 | 9500 |
| 20 | 500 | 500 |
| 21 | 500 | 10500 |
| 22 | 500 | 5500 |
| 23 | 500 | 11500 |
| 24 | 500 | 3000 |
| 25 | 500 | 500 |
| 26 | 500 | 6500 |
| 27 | 500 | 13500 |
| 28 | 500 | 3500 |
| 29 | 500 | 14500 |
| 30 | 500 | 1500 |
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