Least Common Multiple of 4967/824, 2136/7930

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4967/824, 2136/7930 quickly i.e. 5304756 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4967/824, 2136/7930 is 5304756.

LCM(4967/824, 2136/7930) = 5304756

LCM of 4967/824, 2136/7930

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 4967/824,2136/7930

Given numbers are 4967/824,2136/7930

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 4967,2136

Least Common Multiple of Numerators i.e. LCM of 4967,2136 is 10609512.

GCF of Denominators means GCF of 824,7930 as per the given fractions.

GCF of 824,7930 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4967,2136

LCM of Fractions 4967/824,2136/7930 is 5304756

Given numbers has no common factors except 1. So, there LCM is their product i.e 10609512

Least Common Multiple of 4967,2136 with GCF Formula

Least Common Multiple of 4967,2136 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 4967,2136 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4967,2136) = 1

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

GCF(4967,2136) x common factors =1 x 1 = 1

LCM(4967,2136) = ( 4967 × 2136 ) / 1

LCM(4967,2136) = 10609512 / 1

LCM(4967,2136) = 10609512


Lets's calculate GCF of 824,7930

2 824, 7930
412, 3965

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10609512/2

Therefore the LCM of Fractions 4967/824,2136/7930 is 5304756

Greatest Common Factor of 824,7930 By Matching Biggest Common Factor Method

Greatest Common Factor of 824,7930 By Matching Biggest Common Factor Method

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Factors of 7930

List of positive integer factors of 7930 that divides 7930 without a remainder.

1,2,5,10,13,26,61,65,122,130,305,610,793,1586,3965,7930

Greatest Common Factor

We found the factors 824,7930 . The biggest common factor number is the GCF number.
So the greatest common factor 824,7930 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4967/824, 2136/7930

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 4967/824, 2136/7930?

Answer: LCM of Numerators as per given numbers 4967/824, 2136/7930 is

LCM of Numerators i.e. for 4967,2136 is 10609512

GCF of denominators i.e. for 824,7930 is 2.

Thus, LCM of Fractions is 5304756.Finally, LCM of Fractions for 4967/824, 2136/7930 is 5304756.