Least Common Multiple of 726/53, 564/9296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 726/53, 564/9296 quickly i.e. 68244 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 726/53, 564/9296 is 68244.

LCM(726/53, 564/9296) = 68244

LCM of 726/53, 564/9296

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 726/53,564/9296

Given numbers are 726/53,564/9296

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 726,564

Least Common Multiple of Numerators i.e. LCM of 726,564 is 68244.

GCF of Denominators means GCF of 53,9296 as per the given fractions.

GCF of 53,9296 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 726,564

LCM of Fractions 726/53,564/9296 is 68244

2 726, 564
3 363, 282
121, 94

∴ So the LCM of the given numbers is 2 x 3 x 121 x 94 = 68244

Least Common Multiple of 726,564 with GCF Formula

Least Common Multiple of 726,564 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 726,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(726,564) = 6

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

GCF(726,564) x common factors =6 x 1 = 6

LCM(726,564) = ( 726 × 564 ) / 6

LCM(726,564) = 409464 / 6

LCM(726,564) = 68244


Lets's calculate GCF of 53,9296

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68244/1

Therefore the LCM of Fractions 726/53,564/9296 is 68244

Greatest Common Factor of 53,9296 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,9296 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 9296

List of positive integer factors of 9296 that divides 9296 without a remainder.

1,2,4,7,8,14,16,28,56,83,112,166,332,581,664,1162,1328,2324,4648,9296

Greatest Common Factor

We found the factors 53,9296 . The biggest common factor number is the GCF number.
So the greatest common factor 53,9296 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 726/53, 564/9296

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 726/53, 564/9296?

Answer: LCM of Numerators as per given numbers 726/53, 564/9296 is

LCM of Numerators i.e. for 726,564 is 68244

GCF of denominators i.e. for 53,9296 is 1.

Thus, LCM of Fractions is 68244.Finally, LCM of Fractions for 726/53, 564/9296 is 68244.