Least Common Multiple of 219/48, 947/43, 747/819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 219/48, 947/43, 747/819 quickly i.e. 51640857 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 219/48, 947/43, 747/819 is 51640857.

LCM(219/48, 947/43, 747/819) = 51640857

LCM of 219/48, 947/43, 747/819

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 219/48,947/43,747/819

Given numbers are 219/48,947/43,747/819

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 219,947,747

Least Common Multiple of Numerators i.e. LCM of 219,947,747 is 51640857.

GCF of Denominators means GCF of 48,43,819 as per the given fractions.

GCF of 48,43,819 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 219,947,747

LCM of Fractions 219/48,947/43,747/819 is 51640857

3 219, 947, 747
73, 947, 249

∴ So the LCM of the given numbers is 3 x 73 x 947 x 249 = 51640857

Least Common Multiple of 219,947,747 with GCF Formula

Least Common Multiple of 219,947,747 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 219,947,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(219,947,747) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(219,947,747) x common factors =1 x 3 = 3

LCM(219,947,747) = ( 219 × 947 × 747 ) / 3

LCM(219,947,747) = 154922571 / 3

LCM(219,947,747) = 51640857


Lets's calculate GCF of 48,43,819

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51640857/1

Therefore the LCM of Fractions 219/48,947/43,747/819 is 51640857

Greatest Common Factor of 48,43,819 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,43,819 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Greatest Common Factor

We found the factors 48,43,819 . The biggest common factor number is the GCF number.
So the greatest common factor 48,43,819 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 219/48, 947/43, 747/819

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 219/48, 947/43, 747/819?

Answer: LCM of Numerators as per given numbers 219/48, 947/43, 747/819 is

LCM of Numerators i.e. for 219,947,747 is 51640857

GCF of denominators i.e. for 48,43,819 is 1.

Thus, LCM of Fractions is 51640857.Finally, LCM of Fractions for 219/48, 947/43, 747/819 is 51640857.