Least Common Multiple of 468/503, 3432/791

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 468/503, 3432/791 quickly i.e. 10296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 468/503, 3432/791 is 10296.

LCM(468/503, 3432/791) = 10296

LCM of 468/503, 3432/791

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 468/503,3432/791

Given numbers are 468/503,3432/791

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 468,3432

Least Common Multiple of Numerators i.e. LCM of 468,3432 is 10296.

GCF of Denominators means GCF of 503,791 as per the given fractions.

GCF of 503,791 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 468,3432

LCM of Fractions 468/503,3432/791 is 10296

2 468, 3432
2 234, 1716
3 117, 858
13 39, 286
3, 22

∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 3 x 22 = 10296

Least Common Multiple of 468,3432 with GCF Formula

Least Common Multiple of 468,3432 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 468,3432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(468,3432) = 156

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

GCF(468,3432) x common factors =156 x 1 = 156

LCM(468,3432) = ( 468 × 3432 ) / 156

LCM(468,3432) = 1606176 / 156

LCM(468,3432) = 10296


Lets's calculate GCF of 503,791

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10296/1

Therefore the LCM of Fractions 468/503,3432/791 is 10296

Greatest Common Factor of 503,791 By Matching Biggest Common Factor Method

Greatest Common Factor of 503,791 By Matching Biggest Common Factor Method

Factors of 503

List of positive integer factors of 503 that divides 503 without a remainder.

1,503

Factors of 791

List of positive integer factors of 791 that divides 791 without a remainder.

1,7,113,791

Greatest Common Factor

We found the factors 503,791 . The biggest common factor number is the GCF number.
So the greatest common factor 503,791 is 1.


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 468/503, 3432/791

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 468/503, 3432/791?

Answer: LCM of Numerators as per given numbers 468/503, 3432/791 is

LCM of Numerators i.e. for 468,3432 is 10296

GCF of denominators i.e. for 503,791 is 1.

Thus, LCM of Fractions is 10296.Finally, LCM of Fractions for 468/503, 3432/791 is 10296.