Least Common Multiple of 52/789, 75/771, 691/713

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 52/789, 75/771, 691/713 quickly i.e. 2694900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/789, 75/771, 691/713 is 2694900.

LCM(52/789, 75/771, 691/713) = 2694900

LCM of 52/789, 75/771, 691/713

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 52/789,75/771,691/713

Given numbers are 52/789,75/771,691/713

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 52,75,691

Least Common Multiple of Numerators i.e. LCM of 52,75,691 is 2694900.

GCF of Denominators means GCF of 789,771,713 as per the given fractions.

GCF of 789,771,713 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,75,691

LCM of Fractions 52/789,75/771,691/713 is 2694900

Given numbers has no common factors except 1. So, there LCM is their product i.e 2694900

Least Common Multiple of 52,75,691 with GCF Formula

Least Common Multiple of 52,75,691 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 52,75,691 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,75,691) = 1

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

GCF(52,75,691) x common factors =1 x 1 = 1

LCM(52,75,691) = ( 52 × 75 × 691 ) / 1

LCM(52,75,691) = 2694900 / 1

LCM(52,75,691) = 2694900


Lets's calculate GCF of 789,771,713

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2694900/1

Therefore the LCM of Fractions 52/789,75/771,691/713 is 2694900

Greatest Common Factor of 789,771,713 By Matching Biggest Common Factor Method

Greatest Common Factor of 789,771,713 By Matching Biggest Common Factor Method

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Factors of 771

List of positive integer factors of 771 that divides 771 without a remainder.

1,3,257,771

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Greatest Common Factor

We found the factors 789,771,713 . The biggest common factor number is the GCF number.
So the greatest common factor 789,771,713 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 52/789, 75/771, 691/713

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 52/789, 75/771, 691/713?

Answer: LCM of Numerators as per given numbers 52/789, 75/771, 691/713 is

LCM of Numerators i.e. for 52,75,691 is 2694900

GCF of denominators i.e. for 789,771,713 is 1.

Thus, LCM of Fractions is 2694900.Finally, LCM of Fractions for 52/789, 75/771, 691/713 is 2694900.