Least Common Multiple of 13/785, 2021/6695

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/785, 2021/6695 quickly i.e. 26273/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/785, 2021/6695 is 26273/5.

LCM(13/785, 2021/6695) = 26273/5

LCM of 13/785, 2021/6695

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 13/785,2021/6695

Given numbers are 13/785,2021/6695

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 13,2021

Least Common Multiple of Numerators i.e. LCM of 13,2021 is 26273.

GCF of Denominators means GCF of 785,6695 as per the given fractions.

GCF of 785,6695 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,2021

LCM of Fractions 13/785,2021/6695 is 26273/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 26273

Least Common Multiple of 13,2021 with GCF Formula

Least Common Multiple of 13,2021 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 13,2021 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,2021) = 1

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

GCF(13,2021) x common factors =1 x 1 = 1

LCM(13,2021) = ( 13 × 2021 ) / 1

LCM(13,2021) = 26273 / 1

LCM(13,2021) = 26273


Lets's calculate GCF of 785,6695

5 785, 6695
157, 1339

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26273/5

Therefore the LCM of Fractions 13/785,2021/6695 is 26273/5

Greatest Common Factor of 785,6695 By Matching Biggest Common Factor Method

Greatest Common Factor of 785,6695 By Matching Biggest Common Factor Method

Factors of 785

List of positive integer factors of 785 that divides 785 without a remainder.

1,5,157,785

Factors of 6695

List of positive integer factors of 6695 that divides 6695 without a remainder.

1,5,13,65,103,515,1339,6695

Greatest Common Factor

We found the factors 785,6695 . The biggest common factor number is the GCF number.
So the greatest common factor 785,6695 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 13/785, 2021/6695

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 13/785, 2021/6695?

Answer: LCM of Numerators as per given numbers 13/785, 2021/6695 is

LCM of Numerators i.e. for 13,2021 is 26273

GCF of denominators i.e. for 785,6695 is 5.

Thus, LCM of Fractions is 26273/5.Finally, LCM of Fractions for 13/785, 2021/6695 is 26273/5.