Least Common Multiple of 775/91, 135/34, 644/138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 775/91, 135/34, 644/138 quickly i.e. 13475700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 775/91, 135/34, 644/138 is 13475700.

LCM(775/91, 135/34, 644/138) = 13475700

LCM of 775/91, 135/34, 644/138

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 775/91,135/34,644/138

Given numbers are 775/91,135/34,644/138

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 775,135,644

Least Common Multiple of Numerators i.e. LCM of 775,135,644 is 13475700.

GCF of Denominators means GCF of 91,34,138 as per the given fractions.

GCF of 91,34,138 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 775,135,644

LCM of Fractions 775/91,135/34,644/138 is 13475700

5 775, 135, 644
155, 27, 644

∴ So the LCM of the given numbers is 5 x 155 x 27 x 644 = 13475700

Least Common Multiple of 775,135,644 with GCF Formula

Least Common Multiple of 775,135,644 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 775,135,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(775,135,644) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(775,135,644) x common factors =1 x 5 = 5

LCM(775,135,644) = ( 775 × 135 × 644 ) / 5

LCM(775,135,644) = 67378500 / 5

LCM(775,135,644) = 13475700


Lets's calculate GCF of 91,34,138

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13475700/1

Therefore the LCM of Fractions 775/91,135/34,644/138 is 13475700

Greatest Common Factor of 91,34,138 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,34,138 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Greatest Common Factor

We found the factors 91,34,138 . The biggest common factor number is the GCF number.
So the greatest common factor 91,34,138 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 775/91, 135/34, 644/138

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 775/91, 135/34, 644/138?

Answer: LCM of Numerators as per given numbers 775/91, 135/34, 644/138 is

LCM of Numerators i.e. for 775,135,644 is 13475700

GCF of denominators i.e. for 91,34,138 is 1.

Thus, LCM of Fractions is 13475700.Finally, LCM of Fractions for 775/91, 135/34, 644/138 is 13475700.