Least Common Multiple of 5732/675, 5960/7227

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5732/675, 5960/7227 quickly i.e. 8540680/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5732/675, 5960/7227 is 8540680/9.

LCM(5732/675, 5960/7227) = 8540680/9

LCM of 5732/675, 5960/7227

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 5732/675,5960/7227

Given numbers are 5732/675,5960/7227

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 5732,5960

Least Common Multiple of Numerators i.e. LCM of 5732,5960 is 8540680.

GCF of Denominators means GCF of 675,7227 as per the given fractions.

GCF of 675,7227 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5732,5960

LCM of Fractions 5732/675,5960/7227 is 8540680/9

2 5732, 5960
2 2866, 2980
1433, 1490

∴ So the LCM of the given numbers is 2 x 2 x 1433 x 1490 = 8540680

Least Common Multiple of 5732,5960 with GCF Formula

Least Common Multiple of 5732,5960 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 5732,5960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5732,5960) = 4

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

GCF(5732,5960) x common factors =4 x 1 = 4

LCM(5732,5960) = ( 5732 × 5960 ) / 4

LCM(5732,5960) = 34162720 / 4

LCM(5732,5960) = 8540680


Lets's calculate GCF of 675,7227

3 675, 7227
3 225, 2409
75, 803

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8540680/9

Therefore the LCM of Fractions 5732/675,5960/7227 is 8540680/9

Greatest Common Factor of 675,7227 By Matching Biggest Common Factor Method

Greatest Common Factor of 675,7227 By Matching Biggest Common Factor Method

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Factors of 7227

List of positive integer factors of 7227 that divides 7227 without a remainder.

1,3,9,11,33,73,99,219,657,803,2409,7227

Greatest Common Factor

We found the factors 675,7227 . The biggest common factor number is the GCF number.
So the greatest common factor 675,7227 is 9.


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 5732/675, 5960/7227

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 5732/675, 5960/7227?

Answer: LCM of Numerators as per given numbers 5732/675, 5960/7227 is

LCM of Numerators i.e. for 5732,5960 is 8540680

GCF of denominators i.e. for 675,7227 is 9.

Thus, LCM of Fractions is 8540680/9.Finally, LCM of Fractions for 5732/675, 5960/7227 is 8540680/9.