Least Common Multiple of 54/723, 73/522, 743/764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/723, 73/522, 743/764 quickly i.e. 2928906 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/723, 73/522, 743/764 is 2928906.

LCM(54/723, 73/522, 743/764) = 2928906

LCM of 54/723, 73/522, 743/764

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 54/723,73/522,743/764

Given numbers are 54/723,73/522,743/764

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 54,73,743

Least Common Multiple of Numerators i.e. LCM of 54,73,743 is 2928906.

GCF of Denominators means GCF of 723,522,764 as per the given fractions.

GCF of 723,522,764 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,73,743

LCM of Fractions 54/723,73/522,743/764 is 2928906

Given numbers has no common factors except 1. So, there LCM is their product i.e 2928906

Least Common Multiple of 54,73,743 with GCF Formula

Least Common Multiple of 54,73,743 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 54,73,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,73,743) = 1

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

GCF(54,73,743) x common factors =1 x 1 = 1

LCM(54,73,743) = ( 54 × 73 × 743 ) / 1

LCM(54,73,743) = 2928906 / 1

LCM(54,73,743) = 2928906


Lets's calculate GCF of 723,522,764

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2928906/1

Therefore the LCM of Fractions 54/723,73/522,743/764 is 2928906

Greatest Common Factor of 723,522,764 By Matching Biggest Common Factor Method

Greatest Common Factor of 723,522,764 By Matching Biggest Common Factor Method

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Greatest Common Factor

We found the factors 723,522,764 . The biggest common factor number is the GCF number.
So the greatest common factor 723,522,764 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 54/723, 73/522, 743/764

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 54/723, 73/522, 743/764?

Answer: LCM of Numerators as per given numbers 54/723, 73/522, 743/764 is

LCM of Numerators i.e. for 54,73,743 is 2928906

GCF of denominators i.e. for 723,522,764 is 1.

Thus, LCM of Fractions is 2928906.Finally, LCM of Fractions for 54/723, 73/522, 743/764 is 2928906.