Least Common Multiple of 764/134, 971/725, 909/769

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 764/134, 971/725, 909/769 quickly i.e. 674336196 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 764/134, 971/725, 909/769 is 674336196.

LCM(764/134, 971/725, 909/769) = 674336196

LCM of 764/134, 971/725, 909/769

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 764/134,971/725,909/769

Given numbers are 764/134,971/725,909/769

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 764,971,909

Least Common Multiple of Numerators i.e. LCM of 764,971,909 is 674336196.

GCF of Denominators means GCF of 134,725,769 as per the given fractions.

GCF of 134,725,769 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 764,971,909

LCM of Fractions 764/134,971/725,909/769 is 674336196

Given numbers has no common factors except 1. So, there LCM is their product i.e 674336196

Least Common Multiple of 764,971,909 with GCF Formula

Least Common Multiple of 764,971,909 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 764,971,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(764,971,909) = 1

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

GCF(764,971,909) x common factors =1 x 1 = 1

LCM(764,971,909) = ( 764 × 971 × 909 ) / 1

LCM(764,971,909) = 674336196 / 1

LCM(764,971,909) = 674336196


Lets's calculate GCF of 134,725,769

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 674336196/1

Therefore the LCM of Fractions 764/134,971/725,909/769 is 674336196

Greatest Common Factor of 134,725,769 By Matching Biggest Common Factor Method

Greatest Common Factor of 134,725,769 By Matching Biggest Common Factor Method

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Greatest Common Factor

We found the factors 134,725,769 . The biggest common factor number is the GCF number.
So the greatest common factor 134,725,769 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 764/134, 971/725, 909/769

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 764/134, 971/725, 909/769?

Answer: LCM of Numerators as per given numbers 764/134, 971/725, 909/769 is

LCM of Numerators i.e. for 764,971,909 is 674336196

GCF of denominators i.e. for 134,725,769 is 1.

Thus, LCM of Fractions is 674336196.Finally, LCM of Fractions for 764/134, 971/725, 909/769 is 674336196.