Least Common Multiple of 85/244, 5712/4704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/244, 5712/4704 quickly i.e. 7140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/244, 5712/4704 is 7140.

LCM(85/244, 5712/4704) = 7140

LCM of 85/244, 5712/4704

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 85/244,5712/4704

Given numbers are 85/244,5712/4704

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 85,5712

Least Common Multiple of Numerators i.e. LCM of 85,5712 is 28560.

GCF of Denominators means GCF of 244,4704 as per the given fractions.

GCF of 244,4704 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,5712

LCM of Fractions 85/244,5712/4704 is 7140

17 85, 5712
5, 336

∴ So the LCM of the given numbers is 17 x 5 x 336 = 28560

Least Common Multiple of 85,5712 with GCF Formula

Least Common Multiple of 85,5712 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 85,5712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,5712) = 17

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

GCF(85,5712) x common factors =17 x 1 = 17

LCM(85,5712) = ( 85 × 5712 ) / 17

LCM(85,5712) = 485520 / 17

LCM(85,5712) = 28560


Lets's calculate GCF of 244,4704

2 244, 4704
2 122, 2352
61, 1176

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28560/4

Therefore the LCM of Fractions 85/244,5712/4704 is 7140

Greatest Common Factor of 244,4704 By Matching Biggest Common Factor Method

Greatest Common Factor of 244,4704 By Matching Biggest Common Factor Method

Factors of 244

List of positive integer factors of 244 that divides 244 without a remainder.

1,2,4,61,122,244

Factors of 4704

List of positive integer factors of 4704 that divides 4704 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,49,56,84,96,98,112,147,168,196,224,294,336,392,588,672,784,1176,1568,2352,4704

Greatest Common Factor

We found the factors 244,4704 . The biggest common factor number is the GCF number.
So the greatest common factor 244,4704 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 85/244, 5712/4704

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 85/244, 5712/4704?

Answer: LCM of Numerators as per given numbers 85/244, 5712/4704 is

LCM of Numerators i.e. for 85,5712 is 28560

GCF of denominators i.e. for 244,4704 is 4.

Thus, LCM of Fractions is 7140.Finally, LCM of Fractions for 85/244, 5712/4704 is 7140.