Least Common Multiple of 515/43, 444/96, 865/279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 515/43, 444/96, 865/279 quickly i.e. 39558180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 515/43, 444/96, 865/279 is 39558180.

LCM(515/43, 444/96, 865/279) = 39558180

LCM of 515/43, 444/96, 865/279

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 515/43,444/96,865/279

Given numbers are 515/43,444/96,865/279

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 515,444,865

Least Common Multiple of Numerators i.e. LCM of 515,444,865 is 39558180.

GCF of Denominators means GCF of 43,96,279 as per the given fractions.

GCF of 43,96,279 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 515,444,865

LCM of Fractions 515/43,444/96,865/279 is 39558180

5 515, 444, 865
103, 444, 173

∴ So the LCM of the given numbers is 5 x 103 x 444 x 173 = 39558180

Least Common Multiple of 515,444,865 with GCF Formula

Least Common Multiple of 515,444,865 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 515,444,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(515,444,865) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(515,444,865) x common factors =1 x 5 = 5

LCM(515,444,865) = ( 515 × 444 × 865 ) / 5

LCM(515,444,865) = 197790900 / 5

LCM(515,444,865) = 39558180


Lets's calculate GCF of 43,96,279

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39558180/1

Therefore the LCM of Fractions 515/43,444/96,865/279 is 39558180

Greatest Common Factor of 43,96,279 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,96,279 By Matching Biggest Common Factor Method

Factors of 43

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

1,43

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Greatest Common Factor

We found the factors 43,96,279 . The biggest common factor number is the GCF number.
So the greatest common factor 43,96,279 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 515/43, 444/96, 865/279

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 515/43, 444/96, 865/279?

Answer: LCM of Numerators as per given numbers 515/43, 444/96, 865/279 is

LCM of Numerators i.e. for 515,444,865 is 39558180

GCF of denominators i.e. for 43,96,279 is 1.

Thus, LCM of Fractions is 39558180.Finally, LCM of Fractions for 515/43, 444/96, 865/279 is 39558180.