Least Common Multiple of 283/208, 983/909

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 283/208, 983/909 quickly i.e. 278189 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 283/208, 983/909 is 278189.

LCM(283/208, 983/909) = 278189

LCM of 283/208, 983/909

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 283/208,983/909

Given numbers are 283/208,983/909

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 283,983

Least Common Multiple of Numerators i.e. LCM of 283,983 is 278189.

GCF of Denominators means GCF of 208,909 as per the given fractions.

GCF of 208,909 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 283,983

LCM of Fractions 283/208,983/909 is 278189

Given numbers has no common factors except 1. So, there LCM is their product i.e 278189

Least Common Multiple of 283,983 with GCF Formula

Least Common Multiple of 283,983 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 283,983 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(283,983) = 1

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

GCF(283,983) x common factors =1 x 1 = 1

LCM(283,983) = ( 283 × 983 ) / 1

LCM(283,983) = 278189 / 1

LCM(283,983) = 278189


Lets's calculate GCF of 208,909

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 278189/1

Therefore the LCM of Fractions 283/208,983/909 is 278189

Greatest Common Factor of 208,909 By Matching Biggest Common Factor Method

Greatest Common Factor of 208,909 By Matching Biggest Common Factor Method

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Greatest Common Factor

We found the factors 208,909 . The biggest common factor number is the GCF number.
So the greatest common factor 208,909 is 1.


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 283/208, 983/909

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 283/208, 983/909?

Answer: LCM of Numerators as per given numbers 283/208, 983/909 is

LCM of Numerators i.e. for 283,983 is 278189

GCF of denominators i.e. for 208,909 is 1.

Thus, LCM of Fractions is 278189.Finally, LCM of Fractions for 283/208, 983/909 is 278189.