Least Common Multiple of 208/657, 8243/7743

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 208/657, 8243/7743 quickly i.e. 1714544/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 208/657, 8243/7743 is 1714544/3.

LCM(208/657, 8243/7743) = 1714544/3

LCM of 208/657, 8243/7743

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 208/657,8243/7743

Given numbers are 208/657,8243/7743

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 208,8243

Least Common Multiple of Numerators i.e. LCM of 208,8243 is 1714544.

GCF of Denominators means GCF of 657,7743 as per the given fractions.

GCF of 657,7743 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 208,8243

LCM of Fractions 208/657,8243/7743 is 1714544/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 1714544

Least Common Multiple of 208,8243 with GCF Formula

Least Common Multiple of 208,8243 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 208,8243 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,8243) = 1

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

GCF(208,8243) x common factors =1 x 1 = 1

LCM(208,8243) = ( 208 × 8243 ) / 1

LCM(208,8243) = 1714544 / 1

LCM(208,8243) = 1714544


Lets's calculate GCF of 657,7743

3 657, 7743
219, 2581

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1714544/3

Therefore the LCM of Fractions 208/657,8243/7743 is 1714544/3

Greatest Common Factor of 657,7743 By Matching Biggest Common Factor Method

Greatest Common Factor of 657,7743 By Matching Biggest Common Factor Method

Factors of 657

List of positive integer factors of 657 that divides 657 without a remainder.

1,3,9,73,219,657

Factors of 7743

List of positive integer factors of 7743 that divides 7743 without a remainder.

1,3,29,87,89,267,2581,7743

Greatest Common Factor

We found the factors 657,7743 . The biggest common factor number is the GCF number.
So the greatest common factor 657,7743 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 208/657, 8243/7743

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 208/657, 8243/7743?

Answer: LCM of Numerators as per given numbers 208/657, 8243/7743 is

LCM of Numerators i.e. for 208,8243 is 1714544

GCF of denominators i.e. for 657,7743 is 3.

Thus, LCM of Fractions is 1714544/3.Finally, LCM of Fractions for 208/657, 8243/7743 is 1714544/3.