Least Common Multiple of 50/828, 79/696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 50/828, 79/696 quickly i.e. 3950/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/828, 79/696 is 3950/12.

LCM(50/828, 79/696) = 3950/12

LCM of 50/828, 79/696

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 50/828,79/696

Given numbers are 50/828,79/696

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 50,79

Least Common Multiple of Numerators i.e. LCM of 50,79 is 3950.

GCF of Denominators means GCF of 828,696 as per the given fractions.

GCF of 828,696 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,79

LCM of Fractions 50/828,79/696 is 3950/12

Given numbers has no common factors except 1. So, there LCM is their product i.e 3950

Least Common Multiple of 50,79 with GCF Formula

Least Common Multiple of 50,79 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 50,79 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,79) = 1

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

GCF(50,79) x common factors =1 x 1 = 1

LCM(50,79) = ( 50 × 79 ) / 1

LCM(50,79) = 3950 / 1

LCM(50,79) = 3950


Lets's calculate GCF of 828,696

2 828, 696
2 414, 348
3 207, 174
69, 58

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3950/12

Therefore the LCM of Fractions 50/828,79/696 is 3950/12

Greatest Common Factor of 828,696 By Matching Biggest Common Factor Method

Greatest Common Factor of 828,696 By Matching Biggest Common Factor Method

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Greatest Common Factor

We found the factors 828,696 . The biggest common factor number is the GCF number.
So the greatest common factor 828,696 is 12.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 50/828, 79/696

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 50/828, 79/696?

Answer: LCM of Numerators as per given numbers 50/828, 79/696 is

LCM of Numerators i.e. for 50,79 is 3950

GCF of denominators i.e. for 828,696 is 12.

Thus, LCM of Fractions is 3950/12.Finally, LCM of Fractions for 50/828, 79/696 is 3950/12.