LCM for 10 and 600
What's the Least Common Multiple (LCM) of 10 and 600?
(Six hundred)
Finding LCM for 10 and 600 using GCF's of these numbers
The first method to find LCM for numbers 10 and 600 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 10 and 600 is 10, so
LCM = (10 × 600) ÷ 10
LCM = 6000 ÷ 10
LCM = 600
Finding LCM for 10 and 600 by Listing Multiples
The second method to find LCM for numbers 10 and 600 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, 530, 540, 550, 560, 570, 580, 590, 600, 610, 620
Multiples of 600: 600, 1200, 1800, 2400, 3000, 3600, 4200, 4800, 5400, 6000, 6600, 7200, 7800, 8400, 9000, 9600, 10200, 10800, 11400, 12000, 12600, 13200, 13800, 14400, 15000, 15600, 16200, 16800, 17400, 18000, 18600, 19200, 19800, 20400, 21000, 21600, 22200, 22800, 23400, 24000, 24600, 25200, 25800, 26400, 27000, 27600, 28200, 28800, 29400, 30000, 30600, 31200, 31800, 32400, 33000, 33600, 34200, 34800, 35400, 36000, 36600, 37200, [...], 600
So the LCM for 10 and 600 is 600
Finding LCM for 10 and 600 by Prime Factorization
Another method to find LCM for numbers 10 and 600 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 600: 2, 2, 2, 3, 5, 5 (exponent form: 23, 31, 52)
23 × 52 × 31 = 600
Related Calculations
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
1 | 600 | 600 |
2 | 600 | 600 |
3 | 600 | 600 |
4 | 600 | 600 |
5 | 600 | 600 |
6 | 600 | 600 |
7 | 600 | 4200 |
8 | 600 | 600 |
9 | 600 | 1800 |
10 | 600 | 600 |
11 | 600 | 6600 |
12 | 600 | 600 |
13 | 600 | 7800 |
14 | 600 | 4200 |
15 | 600 | 600 |
16 | 600 | 1200 |
17 | 600 | 10200 |
18 | 600 | 1800 |
19 | 600 | 11400 |
20 | 600 | 600 |
21 | 600 | 4200 |
22 | 600 | 6600 |
23 | 600 | 13800 |
24 | 600 | 600 |
25 | 600 | 600 |
26 | 600 | 7800 |
27 | 600 | 5400 |
28 | 600 | 4200 |
29 | 600 | 17400 |
30 | 600 | 600 |
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