Least Common Multiple of 726/564, 9723/910

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 726/564, 9723/910 quickly i.e. 1176483 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 726/564, 9723/910 is 1176483.

LCM(726/564, 9723/910) = 1176483

LCM of 726/564, 9723/910

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 726/564,9723/910

Given numbers are 726/564,9723/910

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 726,9723

Least Common Multiple of Numerators i.e. LCM of 726,9723 is 2352966.

GCF of Denominators means GCF of 564,910 as per the given fractions.

GCF of 564,910 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 726,9723

LCM of Fractions 726/564,9723/910 is 1176483

3 726, 9723
242, 3241

∴ So the LCM of the given numbers is 3 x 242 x 3241 = 2352966

Least Common Multiple of 726,9723 with GCF Formula

Least Common Multiple of 726,9723 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 726,9723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(726,9723) = 3

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

GCF(726,9723) x common factors =3 x 1 = 3

LCM(726,9723) = ( 726 × 9723 ) / 3

LCM(726,9723) = 7058898 / 3

LCM(726,9723) = 2352966


Lets's calculate GCF of 564,910

2 564, 910
282, 455

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2352966/2

Therefore the LCM of Fractions 726/564,9723/910 is 1176483

Greatest Common Factor of 564,910 By Matching Biggest Common Factor Method

Greatest Common Factor of 564,910 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 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Greatest Common Factor

We found the factors 564,910 . The biggest common factor number is the GCF number.
So the greatest common factor 564,910 is 2.


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 726/564, 9723/910

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 726/564, 9723/910?

Answer: LCM of Numerators as per given numbers 726/564, 9723/910 is

LCM of Numerators i.e. for 726,9723 is 2352966

GCF of denominators i.e. for 564,910 is 2.

Thus, LCM of Fractions is 1176483.Finally, LCM of Fractions for 726/564, 9723/910 is 1176483.