Least Common Multiple of 13/781, 2614/5827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 13/781, 2614/5827 quickly i.e. 33982 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/781, 2614/5827 is 33982.

LCM(13/781, 2614/5827) = 33982

LCM of 13/781, 2614/5827

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 13/781,2614/5827

Given numbers are 13/781,2614/5827

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 13,2614

Least Common Multiple of Numerators i.e. LCM of 13,2614 is 33982.

GCF of Denominators means GCF of 781,5827 as per the given fractions.

GCF of 781,5827 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,2614

LCM of Fractions 13/781,2614/5827 is 33982

Given numbers has no common factors except 1. So, there LCM is their product i.e 33982

Least Common Multiple of 13,2614 with GCF Formula

Least Common Multiple of 13,2614 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 13,2614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,2614) = 1

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

GCF(13,2614) x common factors =1 x 1 = 1

LCM(13,2614) = ( 13 × 2614 ) / 1

LCM(13,2614) = 33982 / 1

LCM(13,2614) = 33982


Lets's calculate GCF of 781,5827

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33982/1

Therefore the LCM of Fractions 13/781,2614/5827 is 33982

Greatest Common Factor of 781,5827 By Matching Biggest Common Factor Method

Greatest Common Factor of 781,5827 By Matching Biggest Common Factor Method

Factors of 781

List of positive integer factors of 781 that divides 781 without a remainder.

1,11,71,781

Factors of 5827

List of positive integer factors of 5827 that divides 5827 without a remainder.

1,5827

Greatest Common Factor

We found the factors 781,5827 . The biggest common factor number is the GCF number.
So the greatest common factor 781,5827 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 13/781, 2614/5827

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 13/781, 2614/5827?

Answer: LCM of Numerators as per given numbers 13/781, 2614/5827 is

LCM of Numerators i.e. for 13,2614 is 33982

GCF of denominators i.e. for 781,5827 is 1.

Thus, LCM of Fractions is 33982.Finally, LCM of Fractions for 13/781, 2614/5827 is 33982.