LCM for 50 and 180

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 50 and 180?

Answer

LCM of 50 and 180 is 900

(Nine hundred)

Finding LCM for 50 and 180 using GCF of these numbers

The first method to find LCM for numbers 50 and 180 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 50 and 180 is 10, so

LCM = (50 × 180) ÷ 10

LCM = 9000 ÷ 10

LCM = 900

Finding LCM for 50 and 180 by Listing Multiples

The second method to find LCM for numbers 50 and 180 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

Multiples of 180: 180, 360, 540, 720, 900, 1080, 1260

So the LCM for 50 and 180 is 900

Finding LCM for 50 and 180 by Prime Factorization

Another method to find LCM for numbers 50 and 180 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 180: 2, 2, 3, 3, 5 (exponent form: 22, 32, 51)

22 × 52 × 32 = 900

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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 180? (The answer is: 900). Select the first number (e.g. '50') and the second number (e.g. '180'). 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
351801260
36180180
371806660
381803420
391802340
40180360
411807380
421801260
431807740
441801980
45180180
461804140
471808460
48180720
491808820
50180900
511803060
521802340
531809540
54180540
551801980
561802520
571803420
581805220
5918010620
60180180
6118010980
621805580
631801260
641802880

FAQ

What's the Least Common Multiple (LCM) of 50 and 180?

LCM of 50 and 180 is 900

How to find the LCM of 50 and 180 using prime factorization?

To find the LCM of 50 and 180, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 900.

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 180: LCM = 900, GCF = 10.

See Also