Least Common Multiple of 42/468, 6644/7607

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/468, 6644/7607 quickly i.e. 139524 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/468, 6644/7607 is 139524.

LCM(42/468, 6644/7607) = 139524

LCM of 42/468, 6644/7607

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 42/468,6644/7607

Given numbers are 42/468,6644/7607

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 42,6644

Least Common Multiple of Numerators i.e. LCM of 42,6644 is 139524.

GCF of Denominators means GCF of 468,7607 as per the given fractions.

GCF of 468,7607 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,6644

LCM of Fractions 42/468,6644/7607 is 139524

2 42, 6644
21, 3322

∴ So the LCM of the given numbers is 2 x 21 x 3322 = 139524

Least Common Multiple of 42,6644 with GCF Formula

Least Common Multiple of 42,6644 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 42,6644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,6644) = 2

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

GCF(42,6644) x common factors =2 x 1 = 2

LCM(42,6644) = ( 42 × 6644 ) / 2

LCM(42,6644) = 279048 / 2

LCM(42,6644) = 139524


Lets's calculate GCF of 468,7607

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 139524/1

Therefore the LCM of Fractions 42/468,6644/7607 is 139524

Greatest Common Factor of 468,7607 By Matching Biggest Common Factor Method

Greatest Common Factor of 468,7607 By Matching Biggest Common Factor Method

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 7607

List of positive integer factors of 7607 that divides 7607 without a remainder.

1,7607

Greatest Common Factor

We found the factors 468,7607 . The biggest common factor number is the GCF number.
So the greatest common factor 468,7607 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 42/468, 6644/7607

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 42/468, 6644/7607?

Answer: LCM of Numerators as per given numbers 42/468, 6644/7607 is

LCM of Numerators i.e. for 42,6644 is 139524

GCF of denominators i.e. for 468,7607 is 1.

Thus, LCM of Fractions is 139524.Finally, LCM of Fractions for 42/468, 6644/7607 is 139524.