Least Common Multiple of 324/543, 1964/5232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 324/543, 1964/5232 quickly i.e. 53028 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 324/543, 1964/5232 is 53028.

LCM(324/543, 1964/5232) = 53028

LCM of 324/543, 1964/5232

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 324/543,1964/5232

Given numbers are 324/543,1964/5232

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 324,1964

Least Common Multiple of Numerators i.e. LCM of 324,1964 is 159084.

GCF of Denominators means GCF of 543,5232 as per the given fractions.

GCF of 543,5232 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 324,1964

LCM of Fractions 324/543,1964/5232 is 53028

2 324, 1964
2 162, 982
81, 491

∴ So the LCM of the given numbers is 2 x 2 x 81 x 491 = 159084

Least Common Multiple of 324,1964 with GCF Formula

Least Common Multiple of 324,1964 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 324,1964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(324,1964) = 4

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

GCF(324,1964) x common factors =4 x 1 = 4

LCM(324,1964) = ( 324 × 1964 ) / 4

LCM(324,1964) = 636336 / 4

LCM(324,1964) = 159084


Lets's calculate GCF of 543,5232

3 543, 5232
181, 1744

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 159084/3

Therefore the LCM of Fractions 324/543,1964/5232 is 53028

Greatest Common Factor of 543,5232 By Matching Biggest Common Factor Method

Greatest Common Factor of 543,5232 By Matching Biggest Common Factor Method

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Factors of 5232

List of positive integer factors of 5232 that divides 5232 without a remainder.

1,2,3,4,6,8,12,16,24,48,109,218,327,436,654,872,1308,1744,2616,5232

Greatest Common Factor

We found the factors 543,5232 . The biggest common factor number is the GCF number.
So the greatest common factor 543,5232 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 324/543, 1964/5232

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 324/543, 1964/5232?

Answer: LCM of Numerators as per given numbers 324/543, 1964/5232 is

LCM of Numerators i.e. for 324,1964 is 159084

GCF of denominators i.e. for 543,5232 is 3.

Thus, LCM of Fractions is 53028.Finally, LCM of Fractions for 324/543, 1964/5232 is 53028.