Least Common Multiple of 656/543, 4824/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 656/543, 4824/492 quickly i.e. 131856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 656/543, 4824/492 is 131856.

LCM(656/543, 4824/492) = 131856

LCM of 656/543, 4824/492

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 656/543,4824/492

Given numbers are 656/543,4824/492

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 656,4824

Least Common Multiple of Numerators i.e. LCM of 656,4824 is 395568.

GCF of Denominators means GCF of 543,492 as per the given fractions.

GCF of 543,492 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 656,4824

LCM of Fractions 656/543,4824/492 is 131856

2 656, 4824
2 328, 2412
2 164, 1206
82, 603

∴ So the LCM of the given numbers is 2 x 2 x 2 x 82 x 603 = 395568

Least Common Multiple of 656,4824 with GCF Formula

Least Common Multiple of 656,4824 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 656,4824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(656,4824) = 8

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

GCF(656,4824) x common factors =8 x 1 = 8

LCM(656,4824) = ( 656 × 4824 ) / 8

LCM(656,4824) = 3164544 / 8

LCM(656,4824) = 395568


Lets's calculate GCF of 543,492

3 543, 492
181, 164

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 395568/3

Therefore the LCM of Fractions 656/543,4824/492 is 131856

Greatest Common Factor of 543,492 By Matching Biggest Common Factor Method

Greatest Common Factor of 543,492 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 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Greatest Common Factor

We found the factors 543,492 . The biggest common factor number is the GCF number.
So the greatest common factor 543,492 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 656/543, 4824/492

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 656/543, 4824/492?

Answer: LCM of Numerators as per given numbers 656/543, 4824/492 is

LCM of Numerators i.e. for 656,4824 is 395568

GCF of denominators i.e. for 543,492 is 3.

Thus, LCM of Fractions is 131856.Finally, LCM of Fractions for 656/543, 4824/492 is 131856.