Least Common Multiple of 68/681, 1709/2061

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/681, 1709/2061 quickly i.e. 116212/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/681, 1709/2061 is 116212/3.

LCM(68/681, 1709/2061) = 116212/3

LCM of 68/681, 1709/2061

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 68/681,1709/2061

Given numbers are 68/681,1709/2061

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 68,1709

Least Common Multiple of Numerators i.e. LCM of 68,1709 is 116212.

GCF of Denominators means GCF of 681,2061 as per the given fractions.

GCF of 681,2061 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,1709

LCM of Fractions 68/681,1709/2061 is 116212/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 116212

Least Common Multiple of 68,1709 with GCF Formula

Least Common Multiple of 68,1709 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 68,1709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,1709) = 1

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

GCF(68,1709) x common factors =1 x 1 = 1

LCM(68,1709) = ( 68 × 1709 ) / 1

LCM(68,1709) = 116212 / 1

LCM(68,1709) = 116212


Lets's calculate GCF of 681,2061

3 681, 2061
227, 687

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116212/3

Therefore the LCM of Fractions 68/681,1709/2061 is 116212/3

Greatest Common Factor of 681,2061 By Matching Biggest Common Factor Method

Greatest Common Factor of 681,2061 By Matching Biggest Common Factor Method

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Factors of 2061

List of positive integer factors of 2061 that divides 2061 without a remainder.

1,3,9,229,687,2061

Greatest Common Factor

We found the factors 681,2061 . The biggest common factor number is the GCF number.
So the greatest common factor 681,2061 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 68/681, 1709/2061

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 68/681, 1709/2061?

Answer: LCM of Numerators as per given numbers 68/681, 1709/2061 is

LCM of Numerators i.e. for 68,1709 is 116212

GCF of denominators i.e. for 681,2061 is 3.

Thus, LCM of Fractions is 116212/3.Finally, LCM of Fractions for 68/681, 1709/2061 is 116212/3.