Least Common Multiple of 114/73, 124/26, 743/136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 114/73, 124/26, 743/136 quickly i.e. 5251524 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 114/73, 124/26, 743/136 is 5251524.

LCM(114/73, 124/26, 743/136) = 5251524

LCM of 114/73, 124/26, 743/136

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 114/73,124/26,743/136

Given numbers are 114/73,124/26,743/136

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 114,124,743

Least Common Multiple of Numerators i.e. LCM of 114,124,743 is 5251524.

GCF of Denominators means GCF of 73,26,136 as per the given fractions.

GCF of 73,26,136 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 114,124,743

LCM of Fractions 114/73,124/26,743/136 is 5251524

2 114, 124, 743
57, 62, 743

∴ So the LCM of the given numbers is 2 x 57 x 62 x 743 = 5251524

Least Common Multiple of 114,124,743 with GCF Formula

Least Common Multiple of 114,124,743 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 114,124,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(114,124,743) = 1

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

GCF(114,124,743) x common factors =1 x 2 = 2

LCM(114,124,743) = ( 114 × 124 × 743 ) / 2

LCM(114,124,743) = 10503048 / 2

LCM(114,124,743) = 5251524


Lets's calculate GCF of 73,26,136

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5251524/1

Therefore the LCM of Fractions 114/73,124/26,743/136 is 5251524

Greatest Common Factor of 73,26,136 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,26,136 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 26

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

1,2,13,26

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Greatest Common Factor

We found the factors 73,26,136 . The biggest common factor number is the GCF number.
So the greatest common factor 73,26,136 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 114/73, 124/26, 743/136

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 114/73, 124/26, 743/136?

Answer: LCM of Numerators as per given numbers 114/73, 124/26, 743/136 is

LCM of Numerators i.e. for 114,124,743 is 5251524

GCF of denominators i.e. for 73,26,136 is 1.

Thus, LCM of Fractions is 5251524.Finally, LCM of Fractions for 114/73, 124/26, 743/136 is 5251524.