Least Common Multiple of 959/72, 827/82, 781/999

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 959/72, 827/82, 781/999 quickly i.e. 619405633 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 959/72, 827/82, 781/999 is 619405633.

LCM(959/72, 827/82, 781/999) = 619405633

LCM of 959/72, 827/82, 781/999

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 959/72,827/82,781/999

Given numbers are 959/72,827/82,781/999

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 959,827,781

Least Common Multiple of Numerators i.e. LCM of 959,827,781 is 619405633.

GCF of Denominators means GCF of 72,82,999 as per the given fractions.

GCF of 72,82,999 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 959,827,781

LCM of Fractions 959/72,827/82,781/999 is 619405633

Given numbers has no common factors except 1. So, there LCM is their product i.e 619405633

Least Common Multiple of 959,827,781 with GCF Formula

Least Common Multiple of 959,827,781 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 959,827,781 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(959,827,781) = 1

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

GCF(959,827,781) x common factors =1 x 1 = 1

LCM(959,827,781) = ( 959 × 827 × 781 ) / 1

LCM(959,827,781) = 619405633 / 1

LCM(959,827,781) = 619405633


Lets's calculate GCF of 72,82,999

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 619405633/1

Therefore the LCM of Fractions 959/72,827/82,781/999 is 619405633

Greatest Common Factor of 72,82,999 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,82,999 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 999

List of positive integer factors of 999 that divides 999 without a remainder.

1,3,9,27,37,111,333,999

Greatest Common Factor

We found the factors 72,82,999 . The biggest common factor number is the GCF number.
So the greatest common factor 72,82,999 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 959/72, 827/82, 781/999

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 959/72, 827/82, 781/999?

Answer: LCM of Numerators as per given numbers 959/72, 827/82, 781/999 is

LCM of Numerators i.e. for 959,827,781 is 619405633

GCF of denominators i.e. for 72,82,999 is 1.

Thus, LCM of Fractions is 619405633.Finally, LCM of Fractions for 959/72, 827/82, 781/999 is 619405633.