Least Common Multiple of 723/564, 352/761, 242/902

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 723/564, 352/761, 242/902 quickly i.e. 2799456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 723/564, 352/761, 242/902 is 2799456.

LCM(723/564, 352/761, 242/902) = 2799456

LCM of 723/564, 352/761, 242/902

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 723/564,352/761,242/902

Given numbers are 723/564,352/761,242/902

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 723,352,242

Least Common Multiple of Numerators i.e. LCM of 723,352,242 is 2799456.

GCF of Denominators means GCF of 564,761,902 as per the given fractions.

GCF of 564,761,902 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 723,352,242

LCM of Fractions 723/564,352/761,242/902 is 2799456

2 723, 352, 242
11 723, 176, 121
723, 16, 11

∴ So the LCM of the given numbers is 2 x 11 x 723 x 16 x 11 = 2799456

Least Common Multiple of 723,352,242 with GCF Formula

Least Common Multiple of 723,352,242 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 723,352,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(723,352,242) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(723,352,242) x common factors =1 x 22 = 22

LCM(723,352,242) = ( 723 × 352 × 242 ) / 22

LCM(723,352,242) = 61588032 / 22

LCM(723,352,242) = 2799456


Lets's calculate GCF of 564,761,902

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2799456/1

Therefore the LCM of Fractions 723/564,352/761,242/902 is 2799456

Greatest Common Factor of 564,761,902 By Matching Biggest Common Factor Method

Greatest Common Factor of 564,761,902 By Matching Biggest Common Factor Method

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Factors of 761

List of positive integer factors of 761 that divides 761 without a remainder.

1,761

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Greatest Common Factor

We found the factors 564,761,902 . The biggest common factor number is the GCF number.
So the greatest common factor 564,761,902 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 723/564, 352/761, 242/902

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 723/564, 352/761, 242/902?

Answer: LCM of Numerators as per given numbers 723/564, 352/761, 242/902 is

LCM of Numerators i.e. for 723,352,242 is 2799456

GCF of denominators i.e. for 564,761,902 is 1.

Thus, LCM of Fractions is 2799456.Finally, LCM of Fractions for 723/564, 352/761, 242/902 is 2799456.