LCM for 10 and 600

What's the Least Common Multiple (LCM) of 10 and 600?

Answer: LCM of 10 and 600 is 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

LCM Table

Number 1Number 2LCM
1600600
2600600
3600600
4600600
5600600
6600600
76004200
8600600
96001800
10600
116006600
12600600
136007800
146004200
15600600
166001200
1760010200
186001800
1960011400
20600600
216004200
226006600
2360013800
24600600
25600600
266007800
276005400
286004200
2960017400
30600600

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 10 and 600? (The answer is: 600). Select the first number (e.g. '10') and the second number (e.g. '600'). After that hit the 'Calculate' button.
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

FAQ

What's the Least Common Multiple (LCM) of 10 and 600?

LCM of 10 and 600 is 600