Least Common Multiple of 4124/82, 2658/744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4124/82, 2658/744 quickly i.e. 2740398 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4124/82, 2658/744 is 2740398.

LCM(4124/82, 2658/744) = 2740398

LCM of 4124/82, 2658/744

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 4124/82,2658/744

Given numbers are 4124/82,2658/744

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 4124,2658

Least Common Multiple of Numerators i.e. LCM of 4124,2658 is 5480796.

GCF of Denominators means GCF of 82,744 as per the given fractions.

GCF of 82,744 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4124,2658

LCM of Fractions 4124/82,2658/744 is 2740398

2 4124, 2658
2062, 1329

∴ So the LCM of the given numbers is 2 x 2062 x 1329 = 5480796

Least Common Multiple of 4124,2658 with GCF Formula

Least Common Multiple of 4124,2658 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 4124,2658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4124,2658) = 2

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

GCF(4124,2658) x common factors =2 x 1 = 2

LCM(4124,2658) = ( 4124 × 2658 ) / 2

LCM(4124,2658) = 10961592 / 2

LCM(4124,2658) = 5480796


Lets's calculate GCF of 82,744

2 82, 744
41, 372

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5480796/2

Therefore the LCM of Fractions 4124/82,2658/744 is 2740398

Greatest Common Factor of 82,744 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,744 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Greatest Common Factor

We found the factors 82,744 . The biggest common factor number is the GCF number.
So the greatest common factor 82,744 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 4124/82, 2658/744

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 4124/82, 2658/744?

Answer: LCM of Numerators as per given numbers 4124/82, 2658/744 is

LCM of Numerators i.e. for 4124,2658 is 5480796

GCF of denominators i.e. for 82,744 is 2.

Thus, LCM of Fractions is 2740398.Finally, LCM of Fractions for 4124/82, 2658/744 is 2740398.