Least Common Multiple of 844/39, 272/1713

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 844/39, 272/1713 quickly i.e. 57392/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 844/39, 272/1713 is 57392/3.

LCM(844/39, 272/1713) = 57392/3

LCM of 844/39, 272/1713

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 844/39,272/1713

Given numbers are 844/39,272/1713

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 844,272

Least Common Multiple of Numerators i.e. LCM of 844,272 is 57392.

GCF of Denominators means GCF of 39,1713 as per the given fractions.

GCF of 39,1713 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 844,272

LCM of Fractions 844/39,272/1713 is 57392/3

2 844, 272
2 422, 136
211, 68

∴ So the LCM of the given numbers is 2 x 2 x 211 x 68 = 57392

Least Common Multiple of 844,272 with GCF Formula

Least Common Multiple of 844,272 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 844,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(844,272) = 4

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

GCF(844,272) x common factors =4 x 1 = 4

LCM(844,272) = ( 844 × 272 ) / 4

LCM(844,272) = 229568 / 4

LCM(844,272) = 57392


Lets's calculate GCF of 39,1713

3 39, 1713
13, 571

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57392/3

Therefore the LCM of Fractions 844/39,272/1713 is 57392/3

Greatest Common Factor of 39,1713 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,1713 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 1713

List of positive integer factors of 1713 that divides 1713 without a remainder.

1,3,571,1713

Greatest Common Factor

We found the factors 39,1713 . The biggest common factor number is the GCF number.
So the greatest common factor 39,1713 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 844/39, 272/1713

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 844/39, 272/1713?

Answer: LCM of Numerators as per given numbers 844/39, 272/1713 is

LCM of Numerators i.e. for 844,272 is 57392

GCF of denominators i.e. for 39,1713 is 3.

Thus, LCM of Fractions is 57392/3.Finally, LCM of Fractions for 844/39, 272/1713 is 57392/3.