Least Common Multiple of 117/708, 3409/771

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 117/708, 3409/771 quickly i.e. 132951 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 117/708, 3409/771 is 132951.

LCM(117/708, 3409/771) = 132951

LCM of 117/708, 3409/771

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 117/708,3409/771

Given numbers are 117/708,3409/771

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 117,3409

Least Common Multiple of Numerators i.e. LCM of 117,3409 is 398853.

GCF of Denominators means GCF of 708,771 as per the given fractions.

GCF of 708,771 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 117,3409

LCM of Fractions 117/708,3409/771 is 132951

Given numbers has no common factors except 1. So, there LCM is their product i.e 398853

Least Common Multiple of 117,3409 with GCF Formula

Least Common Multiple of 117,3409 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 117,3409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(117,3409) = 1

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

GCF(117,3409) x common factors =1 x 1 = 1

LCM(117,3409) = ( 117 × 3409 ) / 1

LCM(117,3409) = 398853 / 1

LCM(117,3409) = 398853


Lets's calculate GCF of 708,771

3 708, 771
236, 257

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 398853/3

Therefore the LCM of Fractions 117/708,3409/771 is 132951

Greatest Common Factor of 708,771 By Matching Biggest Common Factor Method

Greatest Common Factor of 708,771 By Matching Biggest Common Factor Method

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Factors of 771

List of positive integer factors of 771 that divides 771 without a remainder.

1,3,257,771

Greatest Common Factor

We found the factors 708,771 . The biggest common factor number is the GCF number.
So the greatest common factor 708,771 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 117/708, 3409/771

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 117/708, 3409/771?

Answer: LCM of Numerators as per given numbers 117/708, 3409/771 is

LCM of Numerators i.e. for 117,3409 is 398853

GCF of denominators i.e. for 708,771 is 3.

Thus, LCM of Fractions is 132951.Finally, LCM of Fractions for 117/708, 3409/771 is 132951.