Least Common Multiple of 7231/18, 5964/252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7231/18, 5964/252 quickly i.e. 6160812/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7231/18, 5964/252 is 6160812/18.

LCM(7231/18, 5964/252) = 6160812/18

LCM of 7231/18, 5964/252

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 7231/18,5964/252

Given numbers are 7231/18,5964/252

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 7231,5964

Least Common Multiple of Numerators i.e. LCM of 7231,5964 is 6160812.

GCF of Denominators means GCF of 18,252 as per the given fractions.

GCF of 18,252 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7231,5964

LCM of Fractions 7231/18,5964/252 is 6160812/18

7 7231, 5964
1033, 852

∴ So the LCM of the given numbers is 7 x 1033 x 852 = 6160812

Least Common Multiple of 7231,5964 with GCF Formula

Least Common Multiple of 7231,5964 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 7231,5964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7231,5964) = 7

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

GCF(7231,5964) x common factors =7 x 1 = 7

LCM(7231,5964) = ( 7231 × 5964 ) / 7

LCM(7231,5964) = 43125684 / 7

LCM(7231,5964) = 6160812


Lets's calculate GCF of 18,252

2 18, 252
3 9, 126
3 3, 42
1, 14

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6160812/18

Therefore the LCM of Fractions 7231/18,5964/252 is 6160812/18

Greatest Common Factor of 18,252 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,252 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Greatest Common Factor

We found the factors 18,252 . The biggest common factor number is the GCF number.
So the greatest common factor 18,252 is 18.


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 7231/18, 5964/252

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 7231/18, 5964/252?

Answer: LCM of Numerators as per given numbers 7231/18, 5964/252 is

LCM of Numerators i.e. for 7231,5964 is 6160812

GCF of denominators i.e. for 18,252 is 18.

Thus, LCM of Fractions is 6160812/18.Finally, LCM of Fractions for 7231/18, 5964/252 is 6160812/18.