Least Common Multiple of 7224/189, 6774/3531

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7224/189, 6774/3531 quickly i.e. 2718632 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7224/189, 6774/3531 is 2718632.

LCM(7224/189, 6774/3531) = 2718632

LCM of 7224/189, 6774/3531

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 7224/189,6774/3531

Given numbers are 7224/189,6774/3531

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 7224,6774

Least Common Multiple of Numerators i.e. LCM of 7224,6774 is 8155896.

GCF of Denominators means GCF of 189,3531 as per the given fractions.

GCF of 189,3531 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7224,6774

LCM of Fractions 7224/189,6774/3531 is 2718632

2 7224, 6774
3 3612, 3387
1204, 1129

∴ So the LCM of the given numbers is 2 x 3 x 1204 x 1129 = 8155896

Least Common Multiple of 7224,6774 with GCF Formula

Least Common Multiple of 7224,6774 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 7224,6774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7224,6774) = 6

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

GCF(7224,6774) x common factors =6 x 1 = 6

LCM(7224,6774) = ( 7224 × 6774 ) / 6

LCM(7224,6774) = 48935376 / 6

LCM(7224,6774) = 8155896


Lets's calculate GCF of 189,3531

3 189, 3531
63, 1177

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8155896/3

Therefore the LCM of Fractions 7224/189,6774/3531 is 2718632

Greatest Common Factor of 189,3531 By Matching Biggest Common Factor Method

Greatest Common Factor of 189,3531 By Matching Biggest Common Factor Method

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Factors of 3531

List of positive integer factors of 3531 that divides 3531 without a remainder.

1,3,11,33,107,321,1177,3531

Greatest Common Factor

We found the factors 189,3531 . The biggest common factor number is the GCF number.
So the greatest common factor 189,3531 is 3.


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 7224/189, 6774/3531

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 7224/189, 6774/3531?

Answer: LCM of Numerators as per given numbers 7224/189, 6774/3531 is

LCM of Numerators i.e. for 7224,6774 is 8155896

GCF of denominators i.e. for 189,3531 is 3.

Thus, LCM of Fractions is 2718632.Finally, LCM of Fractions for 7224/189, 6774/3531 is 2718632.