LCM for 50 and 210

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Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 50 and 210?

Answer

LCM of 50 and 210 is 1,050

(One thousand, fifty)

Finding LCM for 50 and 210 using GCF of these numbers

The first method to find LCM for numbers 50 and 210 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 50 and 210 is 10, so

LCM = (50 × 210) ÷ 10

LCM = 10500 ÷ 10

LCM = 1050

Finding LCM for 50 and 210 by Listing Multiples

The second method to find LCM for numbers 50 and 210 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 50: 50, 100, 150, 200, 250, 300, 350, 400, 450, 500, 550, 600, 650, 700, 750, 800, 850, 900, 950, 1000, 1050, 1100, 1150

Multiples of 210: 210, 420, 630, 840, 1050, 1260, 1470

So the LCM for 50 and 210 is 1050

Finding LCM for 50 and 210 by Prime Factorization

Another method to find LCM for numbers 50 and 210 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 50: 2, 5, 5 (exponent form: 21, 52)

All Prime Factors of 210: 2, 3, 5, 7 (exponent form: 21, 31, 51, 71)

21 × 52 × 31 × 71 = 1050

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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 50 and 210? (The answer is: 1050). Select the first number (e.g. '50') and the second number (e.g. '210'). 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

"Least Common Multiple" Calculator

Least Common Multiple of

and

LCM Table

Number 1Number 2LCM
35210210
362101260
372107770
382103990
392102730
40210840
412108610
42210210
432109030
442104620
45210630
462104830
472109870
482101680
492101470
502101050
512103570
522105460
5321011130
542101890
552102310
56210840
572103990
582106090
5921012390
60210420
6121012810
622106510
63210630
642106720

FAQ

What's the Least Common Multiple (LCM) of 50 and 210?

LCM of 50 and 210 is 1,050

How to find the LCM of 50 and 210 using prime factorization?

To find the LCM of 50 and 210, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,050.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 50 and 210: LCM = 1,050, GCF = 10.

See Also