Least Common Multiple of 717/291, 444/653, 721/726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 717/291, 444/653, 721/726 quickly i.e. 76509636 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 717/291, 444/653, 721/726 is 76509636.

LCM(717/291, 444/653, 721/726) = 76509636

LCM of 717/291, 444/653, 721/726

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 717/291,444/653,721/726

Given numbers are 717/291,444/653,721/726

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 717,444,721

Least Common Multiple of Numerators i.e. LCM of 717,444,721 is 76509636.

GCF of Denominators means GCF of 291,653,726 as per the given fractions.

GCF of 291,653,726 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 717,444,721

LCM of Fractions 717/291,444/653,721/726 is 76509636

3 717, 444, 721
239, 148, 721

∴ So the LCM of the given numbers is 3 x 239 x 148 x 721 = 76509636

Least Common Multiple of 717,444,721 with GCF Formula

Least Common Multiple of 717,444,721 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 717,444,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(717,444,721) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(717,444,721) x common factors =1 x 3 = 3

LCM(717,444,721) = ( 717 × 444 × 721 ) / 3

LCM(717,444,721) = 229528908 / 3

LCM(717,444,721) = 76509636


Lets's calculate GCF of 291,653,726

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76509636/1

Therefore the LCM of Fractions 717/291,444/653,721/726 is 76509636

Greatest Common Factor of 291,653,726 By Matching Biggest Common Factor Method

Greatest Common Factor of 291,653,726 By Matching Biggest Common Factor Method

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Factors of 653

List of positive integer factors of 653 that divides 653 without a remainder.

1,653

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Greatest Common Factor

We found the factors 291,653,726 . The biggest common factor number is the GCF number.
So the greatest common factor 291,653,726 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 717/291, 444/653, 721/726

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 717/291, 444/653, 721/726?

Answer: LCM of Numerators as per given numbers 717/291, 444/653, 721/726 is

LCM of Numerators i.e. for 717,444,721 is 76509636

GCF of denominators i.e. for 291,653,726 is 1.

Thus, LCM of Fractions is 76509636.Finally, LCM of Fractions for 717/291, 444/653, 721/726 is 76509636.