Least Common Multiple of 827/39, 965/2616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 827/39, 965/2616 quickly i.e. 798055/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 827/39, 965/2616 is 798055/3.

LCM(827/39, 965/2616) = 798055/3

LCM of 827/39, 965/2616

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 827/39,965/2616

Given numbers are 827/39,965/2616

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 827,965

Least Common Multiple of Numerators i.e. LCM of 827,965 is 798055.

GCF of Denominators means GCF of 39,2616 as per the given fractions.

GCF of 39,2616 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 827,965

LCM of Fractions 827/39,965/2616 is 798055/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 798055

Least Common Multiple of 827,965 with GCF Formula

Least Common Multiple of 827,965 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 827,965 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(827,965) = 1

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

GCF(827,965) x common factors =1 x 1 = 1

LCM(827,965) = ( 827 × 965 ) / 1

LCM(827,965) = 798055 / 1

LCM(827,965) = 798055


Lets's calculate GCF of 39,2616

3 39, 2616
13, 872

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 798055/3

Therefore the LCM of Fractions 827/39,965/2616 is 798055/3

Greatest Common Factor of 39,2616 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,2616 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 2616

List of positive integer factors of 2616 that divides 2616 without a remainder.

1,2,3,4,6,8,12,24,109,218,327,436,654,872,1308,2616

Greatest Common Factor

We found the factors 39,2616 . The biggest common factor number is the GCF number.
So the greatest common factor 39,2616 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 827/39, 965/2616

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 827/39, 965/2616?

Answer: LCM of Numerators as per given numbers 827/39, 965/2616 is

LCM of Numerators i.e. for 827,965 is 798055

GCF of denominators i.e. for 39,2616 is 3.

Thus, LCM of Fractions is 798055/3.Finally, LCM of Fractions for 827/39, 965/2616 is 798055/3.