Least Common Multiple of 234/351, 5524/6045

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 234/351, 5524/6045 quickly i.e. 16572 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 234/351, 5524/6045 is 16572.

LCM(234/351, 5524/6045) = 16572

LCM of 234/351, 5524/6045

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 234/351,5524/6045

Given numbers are 234/351,5524/6045

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 234,5524

Least Common Multiple of Numerators i.e. LCM of 234,5524 is 646308.

GCF of Denominators means GCF of 351,6045 as per the given fractions.

GCF of 351,6045 is 39 as it is the largest common factor for these numbers.

Lets's calculate LCM of 234,5524

LCM of Fractions 234/351,5524/6045 is 16572

2 234, 5524
117, 2762

∴ So the LCM of the given numbers is 2 x 117 x 2762 = 646308

Least Common Multiple of 234,5524 with GCF Formula

Least Common Multiple of 234,5524 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 234,5524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(234,5524) = 2

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

GCF(234,5524) x common factors =2 x 1 = 2

LCM(234,5524) = ( 234 × 5524 ) / 2

LCM(234,5524) = 1292616 / 2

LCM(234,5524) = 646308


Lets's calculate GCF of 351,6045

3 351, 6045
13 117, 2015
9, 155

∴ So the GCF of the given numbers is 3 x 13 = 39

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 646308/39

Therefore the LCM of Fractions 234/351,5524/6045 is 16572

Greatest Common Factor of 351,6045 By Matching Biggest Common Factor Method

Greatest Common Factor of 351,6045 By Matching Biggest Common Factor Method

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Factors of 6045

List of positive integer factors of 6045 that divides 6045 without a remainder.

1,3,5,13,15,31,39,65,93,155,195,403,465,1209,2015,6045

Greatest Common Factor

We found the factors 351,6045 . The biggest common factor number is the GCF number.
So the greatest common factor 351,6045 is 39.


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 234/351, 5524/6045

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 234/351, 5524/6045?

Answer: LCM of Numerators as per given numbers 234/351, 5524/6045 is

LCM of Numerators i.e. for 234,5524 is 646308

GCF of denominators i.e. for 351,6045 is 39.

Thus, LCM of Fractions is 16572.Finally, LCM of Fractions for 234/351, 5524/6045 is 16572.