Least Common Multiple of 6396/742, 7644/4014

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6396/742, 7644/4014 quickly i.e. 156702 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6396/742, 7644/4014 is 156702.

LCM(6396/742, 7644/4014) = 156702

LCM of 6396/742, 7644/4014

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 6396/742,7644/4014

Given numbers are 6396/742,7644/4014

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 6396,7644

Least Common Multiple of Numerators i.e. LCM of 6396,7644 is 313404.

GCF of Denominators means GCF of 742,4014 as per the given fractions.

GCF of 742,4014 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6396,7644

LCM of Fractions 6396/742,7644/4014 is 156702

2 6396, 7644
2 3198, 3822
3 1599, 1911
13 533, 637
41, 49

∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 41 x 49 = 313404

Least Common Multiple of 6396,7644 with GCF Formula

Least Common Multiple of 6396,7644 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 6396,7644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6396,7644) = 156

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

GCF(6396,7644) x common factors =156 x 1 = 156

LCM(6396,7644) = ( 6396 × 7644 ) / 156

LCM(6396,7644) = 48891024 / 156

LCM(6396,7644) = 313404


Lets's calculate GCF of 742,4014

2 742, 4014
371, 2007

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 313404/2

Therefore the LCM of Fractions 6396/742,7644/4014 is 156702

Greatest Common Factor of 742,4014 By Matching Biggest Common Factor Method

Greatest Common Factor of 742,4014 By Matching Biggest Common Factor Method

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Factors of 4014

List of positive integer factors of 4014 that divides 4014 without a remainder.

1,2,3,6,9,18,223,446,669,1338,2007,4014

Greatest Common Factor

We found the factors 742,4014 . The biggest common factor number is the GCF number.
So the greatest common factor 742,4014 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 6396/742, 7644/4014

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 6396/742, 7644/4014?

Answer: LCM of Numerators as per given numbers 6396/742, 7644/4014 is

LCM of Numerators i.e. for 6396,7644 is 313404

GCF of denominators i.e. for 742,4014 is 2.

Thus, LCM of Fractions is 156702.Finally, LCM of Fractions for 6396/742, 7644/4014 is 156702.