Least Common Multiple of 79/500, 11/266, 684/512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 79/500, 11/266, 684/512 quickly i.e. 297198 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/500, 11/266, 684/512 is 297198.

LCM(79/500, 11/266, 684/512) = 297198

LCM of 79/500, 11/266, 684/512

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 79/500,11/266,684/512

Given numbers are 79/500,11/266,684/512

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 79,11,684

Least Common Multiple of Numerators i.e. LCM of 79,11,684 is 594396.

GCF of Denominators means GCF of 500,266,512 as per the given fractions.

GCF of 500,266,512 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,11,684

LCM of Fractions 79/500,11/266,684/512 is 297198

Given numbers has no common factors except 1. So, there LCM is their product i.e 594396

Least Common Multiple of 79,11,684 with GCF Formula

Least Common Multiple of 79,11,684 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 79,11,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,11,684) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(79,11,684) x common factors =1 x 1 = 1

LCM(79,11,684) = ( 79 × 11 × 684 ) / 1

LCM(79,11,684) = 594396 / 1

LCM(79,11,684) = 594396


Lets's calculate GCF of 500,266,512

2 500, 266, 512
250, 133, 256

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 594396/2

Therefore the LCM of Fractions 79/500,11/266,684/512 is 297198

Greatest Common Factor of 500,266,512 By Matching Biggest Common Factor Method

Greatest Common Factor of 500,266,512 By Matching Biggest Common Factor Method

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Greatest Common Factor

We found the factors 500,266,512 . The biggest common factor number is the GCF number.
So the greatest common factor 500,266,512 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 79/500, 11/266, 684/512

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 79/500, 11/266, 684/512?

Answer: LCM of Numerators as per given numbers 79/500, 11/266, 684/512 is

LCM of Numerators i.e. for 79,11,684 is 594396

GCF of denominators i.e. for 500,266,512 is 2.

Thus, LCM of Fractions is 297198.Finally, LCM of Fractions for 79/500, 11/266, 684/512 is 297198.