Least Common Multiple of 728/42, 423/7135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 728/42, 423/7135 quickly i.e. 307944 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 728/42, 423/7135 is 307944.

LCM(728/42, 423/7135) = 307944

LCM of 728/42, 423/7135

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 728/42,423/7135

Given numbers are 728/42,423/7135

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 728,423

Least Common Multiple of Numerators i.e. LCM of 728,423 is 307944.

GCF of Denominators means GCF of 42,7135 as per the given fractions.

GCF of 42,7135 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 728,423

LCM of Fractions 728/42,423/7135 is 307944

Given numbers has no common factors except 1. So, there LCM is their product i.e 307944

Least Common Multiple of 728,423 with GCF Formula

Least Common Multiple of 728,423 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 728,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(728,423) = 1

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

GCF(728,423) x common factors =1 x 1 = 1

LCM(728,423) = ( 728 × 423 ) / 1

LCM(728,423) = 307944 / 1

LCM(728,423) = 307944


Lets's calculate GCF of 42,7135

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 307944/1

Therefore the LCM of Fractions 728/42,423/7135 is 307944

Greatest Common Factor of 42,7135 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,7135 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 7135

List of positive integer factors of 7135 that divides 7135 without a remainder.

1,5,1427,7135

Greatest Common Factor

We found the factors 42,7135 . The biggest common factor number is the GCF number.
So the greatest common factor 42,7135 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 728/42, 423/7135

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 728/42, 423/7135?

Answer: LCM of Numerators as per given numbers 728/42, 423/7135 is

LCM of Numerators i.e. for 728,423 is 307944

GCF of denominators i.e. for 42,7135 is 1.

Thus, LCM of Fractions is 307944.Finally, LCM of Fractions for 728/42, 423/7135 is 307944.