Least Common Multiple of 979/90, 6774/844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 979/90, 6774/844 quickly i.e. 3315873 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 979/90, 6774/844 is 3315873.

LCM(979/90, 6774/844) = 3315873

LCM of 979/90, 6774/844

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 979/90,6774/844

Given numbers are 979/90,6774/844

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 979,6774

Least Common Multiple of Numerators i.e. LCM of 979,6774 is 6631746.

GCF of Denominators means GCF of 90,844 as per the given fractions.

GCF of 90,844 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 979,6774

LCM of Fractions 979/90,6774/844 is 3315873

Given numbers has no common factors except 1. So, there LCM is their product i.e 6631746

Least Common Multiple of 979,6774 with GCF Formula

Least Common Multiple of 979,6774 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 979,6774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(979,6774) = 1

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

GCF(979,6774) x common factors =1 x 1 = 1

LCM(979,6774) = ( 979 × 6774 ) / 1

LCM(979,6774) = 6631746 / 1

LCM(979,6774) = 6631746


Lets's calculate GCF of 90,844

2 90, 844
45, 422

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6631746/2

Therefore the LCM of Fractions 979/90,6774/844 is 3315873

Greatest Common Factor of 90,844 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,844 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1,2,4,211,422,844

Greatest Common Factor

We found the factors 90,844 . The biggest common factor number is the GCF number.
So the greatest common factor 90,844 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 979/90, 6774/844

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 979/90, 6774/844?

Answer: LCM of Numerators as per given numbers 979/90, 6774/844 is

LCM of Numerators i.e. for 979,6774 is 6631746

GCF of denominators i.e. for 90,844 is 2.

Thus, LCM of Fractions is 3315873.Finally, LCM of Fractions for 979/90, 6774/844 is 3315873.