Least Common Multiple of 208/838, 817/694

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 208/838, 817/694 quickly i.e. 84968 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 208/838, 817/694 is 84968.

LCM(208/838, 817/694) = 84968

LCM of 208/838, 817/694

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 208/838,817/694

Given numbers are 208/838,817/694

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 208,817

Least Common Multiple of Numerators i.e. LCM of 208,817 is 169936.

GCF of Denominators means GCF of 838,694 as per the given fractions.

GCF of 838,694 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 208,817

LCM of Fractions 208/838,817/694 is 84968

Given numbers has no common factors except 1. So, there LCM is their product i.e 169936

Least Common Multiple of 208,817 with GCF Formula

Least Common Multiple of 208,817 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 208,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,817) = 1

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

GCF(208,817) x common factors =1 x 1 = 1

LCM(208,817) = ( 208 × 817 ) / 1

LCM(208,817) = 169936 / 1

LCM(208,817) = 169936


Lets's calculate GCF of 838,694

2 838, 694
419, 347

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 169936/2

Therefore the LCM of Fractions 208/838,817/694 is 84968

Greatest Common Factor of 838,694 By Matching Biggest Common Factor Method

Greatest Common Factor of 838,694 By Matching Biggest Common Factor Method

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Greatest Common Factor

We found the factors 838,694 . The biggest common factor number is the GCF number.
So the greatest common factor 838,694 is 2.


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 208/838, 817/694

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 208/838, 817/694?

Answer: LCM of Numerators as per given numbers 208/838, 817/694 is

LCM of Numerators i.e. for 208,817 is 169936

GCF of denominators i.e. for 838,694 is 2.

Thus, LCM of Fractions is 84968.Finally, LCM of Fractions for 208/838, 817/694 is 84968.