Least Common Multiple of 107/26, 902/27, 114/843

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 107/26, 902/27, 114/843 quickly i.e. 5501298 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 107/26, 902/27, 114/843 is 5501298.

LCM(107/26, 902/27, 114/843) = 5501298

LCM of 107/26, 902/27, 114/843

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 107/26,902/27,114/843

Given numbers are 107/26,902/27,114/843

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 107,902,114

Least Common Multiple of Numerators i.e. LCM of 107,902,114 is 5501298.

GCF of Denominators means GCF of 26,27,843 as per the given fractions.

GCF of 26,27,843 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 107,902,114

LCM of Fractions 107/26,902/27,114/843 is 5501298

2 107, 902, 114
107, 451, 57

∴ So the LCM of the given numbers is 2 x 107 x 451 x 57 = 5501298

Least Common Multiple of 107,902,114 with GCF Formula

Least Common Multiple of 107,902,114 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 107,902,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(107,902,114) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(107,902,114) x common factors =1 x 2 = 2

LCM(107,902,114) = ( 107 × 902 × 114 ) / 2

LCM(107,902,114) = 11002596 / 2

LCM(107,902,114) = 5501298


Lets's calculate GCF of 26,27,843

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5501298/1

Therefore the LCM of Fractions 107/26,902/27,114/843 is 5501298

Greatest Common Factor of 26,27,843 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,27,843 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 843

List of positive integer factors of 843 that divides 843 without a remainder.

1,3,281,843

Greatest Common Factor

We found the factors 26,27,843 . The biggest common factor number is the GCF number.
So the greatest common factor 26,27,843 is 1.


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 107/26, 902/27, 114/843

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 107/26, 902/27, 114/843?

Answer: LCM of Numerators as per given numbers 107/26, 902/27, 114/843 is

LCM of Numerators i.e. for 107,902,114 is 5501298

GCF of denominators i.e. for 26,27,843 is 1.

Thus, LCM of Fractions is 5501298.Finally, LCM of Fractions for 107/26, 902/27, 114/843 is 5501298.