Least Common Multiple of 468/871, 7272/2184

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 468/871, 7272/2184 quickly i.e. 7272 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 468/871, 7272/2184 is 7272.

LCM(468/871, 7272/2184) = 7272

LCM of 468/871, 7272/2184

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 468/871,7272/2184

Given numbers are 468/871,7272/2184

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 468,7272

Least Common Multiple of Numerators i.e. LCM of 468,7272 is 94536.

GCF of Denominators means GCF of 871,2184 as per the given fractions.

GCF of 871,2184 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 468,7272

LCM of Fractions 468/871,7272/2184 is 7272

2 468, 7272
2 234, 3636
3 117, 1818
3 39, 606
13, 202

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 13 x 202 = 94536

Least Common Multiple of 468,7272 with GCF Formula

Least Common Multiple of 468,7272 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 468,7272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(468,7272) = 36

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

GCF(468,7272) x common factors =36 x 1 = 36

LCM(468,7272) = ( 468 × 7272 ) / 36

LCM(468,7272) = 3403296 / 36

LCM(468,7272) = 94536


Lets's calculate GCF of 871,2184

13 871, 2184
67, 168

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 94536/13

Therefore the LCM of Fractions 468/871,7272/2184 is 7272

Greatest Common Factor of 871,2184 By Matching Biggest Common Factor Method

Greatest Common Factor of 871,2184 By Matching Biggest Common Factor Method

Factors of 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Factors of 2184

List of positive integer factors of 2184 that divides 2184 without a remainder.

1,2,3,4,6,7,8,12,13,14,21,24,26,28,39,42,52,56,78,84,91,104,156,168,182,273,312,364,546,728,1092,2184

Greatest Common Factor

We found the factors 871,2184 . The biggest common factor number is the GCF number.
So the greatest common factor 871,2184 is 13.


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 468/871, 7272/2184

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 468/871, 7272/2184?

Answer: LCM of Numerators as per given numbers 468/871, 7272/2184 is

LCM of Numerators i.e. for 468,7272 is 94536

GCF of denominators i.e. for 871,2184 is 13.

Thus, LCM of Fractions is 7272.Finally, LCM of Fractions for 468/871, 7272/2184 is 7272.