Least Common Multiple of 43/56, 82/332, 824/484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/56, 82/332, 824/484 quickly i.e. 363178 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/56, 82/332, 824/484 is 363178.

LCM(43/56, 82/332, 824/484) = 363178

LCM of 43/56, 82/332, 824/484

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 43/56,82/332,824/484

Given numbers are 43/56,82/332,824/484

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 43,82,824

Least Common Multiple of Numerators i.e. LCM of 43,82,824 is 1452712.

GCF of Denominators means GCF of 56,332,484 as per the given fractions.

GCF of 56,332,484 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,82,824

LCM of Fractions 43/56,82/332,824/484 is 363178

2 43, 82, 824
43, 41, 412

∴ So the LCM of the given numbers is 2 x 43 x 41 x 412 = 1452712

Least Common Multiple of 43,82,824 with GCF Formula

Least Common Multiple of 43,82,824 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 43,82,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,82,824) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(43,82,824) x common factors =1 x 2 = 2

LCM(43,82,824) = ( 43 × 82 × 824 ) / 2

LCM(43,82,824) = 2905424 / 2

LCM(43,82,824) = 1452712


Lets's calculate GCF of 56,332,484

2 56, 332, 484
2 28, 166, 242
14, 83, 121

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1452712/4

Therefore the LCM of Fractions 43/56,82/332,824/484 is 363178

Greatest Common Factor of 56,332,484 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,332,484 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1,2,4,83,166,332

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Greatest Common Factor

We found the factors 56,332,484 . The biggest common factor number is the GCF number.
So the greatest common factor 56,332,484 is 4.


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 43/56, 82/332, 824/484

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 43/56, 82/332, 824/484?

Answer: LCM of Numerators as per given numbers 43/56, 82/332, 824/484 is

LCM of Numerators i.e. for 43,82,824 is 1452712

GCF of denominators i.e. for 56,332,484 is 4.

Thus, LCM of Fractions is 363178.Finally, LCM of Fractions for 43/56, 82/332, 824/484 is 363178.