LCM for 10 and 510

What's the Least Common Multiple (LCM) of 10 and 510?

Answer: LCM of 10 and 510 is 510

(Five hundred ten)

Finding LCM for 10 and 510 using GCF's of these numbers

The first method to find LCM for numbers 10 and 510 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 10 and 510 is 10, so

LCM = (10 × 510) ÷ 10

LCM = 5100 ÷ 10

LCM = 510

Finding LCM for 10 and 510 by Listing Multiples

The second method to find LCM for numbers 10 and 510 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

Multiples of 510: 510, 1020, 1530, 2040, 2550, 3060, 3570, 4080, 4590, 5100, 5610, 6120, 6630, 7140, 7650, 8160, 8670, 9180, 9690, 10200, 10710, 11220, 11730, 12240, 12750, 13260, 13770, 14280, 14790, 15300, 15810, 16320, 16830, 17340, 17850, 18360, 18870, 19380, 19890, 20400, 20910, 21420, 21930, 22440, 22950, 23460, 23970, 24480, 24990, 25500, 26010, 26520, 27030, [...], 510

So the LCM for 10 and 510 is 510

Finding LCM for 10 and 510 by Prime Factorization

Another method to find LCM for numbers 10 and 510 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 510: 2, 3, 5, 17 (exponent form: 21, 31, 51, 171)

21 × 51 × 31 × 171 = 510

See Also

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 510? (The answer is: 510). Select the first number (e.g. '10') and the second number (e.g. '510'). 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

LCM Table

Number 1Number 2LCM
1510510
2510510
3510510
45101020
5510510
6510510
75103570
85102040
95101530
10510
115105610
125101020
135106630
145103570
15510510
165104080
17510510
185101530
195109690
205101020
215103570
225105610
2351011730
245102040
255102550
265106630
275104590
285107140
2951014790
30510510

FAQ

What's the Least Common Multiple (LCM) of 10 and 510?

LCM of 10 and 510 is 510