Least Common Multiple of 864/250, 5943/5115

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 864/250, 5943/5115 quickly i.e. 1711584/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 864/250, 5943/5115 is 1711584/5.

LCM(864/250, 5943/5115) = 1711584/5

LCM of 864/250, 5943/5115

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 864/250,5943/5115

Given numbers are 864/250,5943/5115

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 864,5943

Least Common Multiple of Numerators i.e. LCM of 864,5943 is 1711584.

GCF of Denominators means GCF of 250,5115 as per the given fractions.

GCF of 250,5115 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 864,5943

LCM of Fractions 864/250,5943/5115 is 1711584/5

3 864, 5943
288, 1981

∴ So the LCM of the given numbers is 3 x 288 x 1981 = 1711584

Least Common Multiple of 864,5943 with GCF Formula

Least Common Multiple of 864,5943 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 864,5943 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(864,5943) = 3

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

GCF(864,5943) x common factors =3 x 1 = 3

LCM(864,5943) = ( 864 × 5943 ) / 3

LCM(864,5943) = 5134752 / 3

LCM(864,5943) = 1711584


Lets's calculate GCF of 250,5115

5 250, 5115
50, 1023

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1711584/5

Therefore the LCM of Fractions 864/250,5943/5115 is 1711584/5

Greatest Common Factor of 250,5115 By Matching Biggest Common Factor Method

Greatest Common Factor of 250,5115 By Matching Biggest Common Factor Method

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

Factors of 5115

List of positive integer factors of 5115 that divides 5115 without a remainder.

1,3,5,11,15,31,33,55,93,155,165,341,465,1023,1705,5115

Greatest Common Factor

We found the factors 250,5115 . The biggest common factor number is the GCF number.
So the greatest common factor 250,5115 is 5.


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 864/250, 5943/5115

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 864/250, 5943/5115?

Answer: LCM of Numerators as per given numbers 864/250, 5943/5115 is

LCM of Numerators i.e. for 864,5943 is 1711584

GCF of denominators i.e. for 250,5115 is 5.

Thus, LCM of Fractions is 1711584/5.Finally, LCM of Fractions for 864/250, 5943/5115 is 1711584/5.