Least Common Multiple of 2644/267, 4060/8814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2644/267, 4060/8814 quickly i.e. 2683660/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2644/267, 4060/8814 is 2683660/3.

LCM(2644/267, 4060/8814) = 2683660/3

LCM of 2644/267, 4060/8814

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 2644/267,4060/8814

Given numbers are 2644/267,4060/8814

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 2644,4060

Least Common Multiple of Numerators i.e. LCM of 2644,4060 is 2683660.

GCF of Denominators means GCF of 267,8814 as per the given fractions.

GCF of 267,8814 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2644,4060

LCM of Fractions 2644/267,4060/8814 is 2683660/3

2 2644, 4060
2 1322, 2030
661, 1015

∴ So the LCM of the given numbers is 2 x 2 x 661 x 1015 = 2683660

Least Common Multiple of 2644,4060 with GCF Formula

Least Common Multiple of 2644,4060 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 2644,4060 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2644,4060) = 4

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

GCF(2644,4060) x common factors =4 x 1 = 4

LCM(2644,4060) = ( 2644 × 4060 ) / 4

LCM(2644,4060) = 10734640 / 4

LCM(2644,4060) = 2683660


Lets's calculate GCF of 267,8814

3 267, 8814
89, 2938

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2683660/3

Therefore the LCM of Fractions 2644/267,4060/8814 is 2683660/3

Greatest Common Factor of 267,8814 By Matching Biggest Common Factor Method

Greatest Common Factor of 267,8814 By Matching Biggest Common Factor Method

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Factors of 8814

List of positive integer factors of 8814 that divides 8814 without a remainder.

1,2,3,6,13,26,39,78,113,226,339,678,1469,2938,4407,8814

Greatest Common Factor

We found the factors 267,8814 . The biggest common factor number is the GCF number.
So the greatest common factor 267,8814 is 3.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 2644/267, 4060/8814

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 2644/267, 4060/8814?

Answer: LCM of Numerators as per given numbers 2644/267, 4060/8814 is

LCM of Numerators i.e. for 2644,4060 is 2683660

GCF of denominators i.e. for 267,8814 is 3.

Thus, LCM of Fractions is 2683660/3.Finally, LCM of Fractions for 2644/267, 4060/8814 is 2683660/3.