Least Common Multiple of 744/724, 418/626

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 744/724, 418/626 quickly i.e. 77748 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 744/724, 418/626 is 77748.

LCM(744/724, 418/626) = 77748

LCM of 744/724, 418/626

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 744/724,418/626

Given numbers are 744/724,418/626

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 744,418

Least Common Multiple of Numerators i.e. LCM of 744,418 is 155496.

GCF of Denominators means GCF of 724,626 as per the given fractions.

GCF of 724,626 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 744,418

LCM of Fractions 744/724,418/626 is 77748

2 744, 418
372, 209

∴ So the LCM of the given numbers is 2 x 372 x 209 = 155496

Least Common Multiple of 744,418 with GCF Formula

Least Common Multiple of 744,418 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 744,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,418) = 2

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

GCF(744,418) x common factors =2 x 1 = 2

LCM(744,418) = ( 744 × 418 ) / 2

LCM(744,418) = 310992 / 2

LCM(744,418) = 155496


Lets's calculate GCF of 724,626

2 724, 626
362, 313

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 155496/2

Therefore the LCM of Fractions 744/724,418/626 is 77748

Greatest Common Factor of 724,626 By Matching Biggest Common Factor Method

Greatest Common Factor of 724,626 By Matching Biggest Common Factor Method

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Greatest Common Factor

We found the factors 724,626 . The biggest common factor number is the GCF number.
So the greatest common factor 724,626 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 744/724, 418/626

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 744/724, 418/626?

Answer: LCM of Numerators as per given numbers 744/724, 418/626 is

LCM of Numerators i.e. for 744,418 is 155496

GCF of denominators i.e. for 724,626 is 2.

Thus, LCM of Fractions is 77748.Finally, LCM of Fractions for 744/724, 418/626 is 77748.