Least Common Multiple of 283/22, 103/7899

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 283/22, 103/7899 quickly i.e. 29149 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 283/22, 103/7899 is 29149.

LCM(283/22, 103/7899) = 29149

LCM of 283/22, 103/7899

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 283/22,103/7899

Given numbers are 283/22,103/7899

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 283,103

Least Common Multiple of Numerators i.e. LCM of 283,103 is 29149.

GCF of Denominators means GCF of 22,7899 as per the given fractions.

GCF of 22,7899 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 283,103

LCM of Fractions 283/22,103/7899 is 29149

Given numbers has no common factors except 1. So, there LCM is their product i.e 29149

Least Common Multiple of 283,103 with GCF Formula

Least Common Multiple of 283,103 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 283,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(283,103) = 1

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

GCF(283,103) x common factors =1 x 1 = 1

LCM(283,103) = ( 283 × 103 ) / 1

LCM(283,103) = 29149 / 1

LCM(283,103) = 29149


Lets's calculate GCF of 22,7899

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29149/1

Therefore the LCM of Fractions 283/22,103/7899 is 29149

Greatest Common Factor of 22,7899 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,7899 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 7899

List of positive integer factors of 7899 that divides 7899 without a remainder.

1,3,2633,7899

Greatest Common Factor

We found the factors 22,7899 . The biggest common factor number is the GCF number.
So the greatest common factor 22,7899 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 283/22, 103/7899

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 283/22, 103/7899?

Answer: LCM of Numerators as per given numbers 283/22, 103/7899 is

LCM of Numerators i.e. for 283,103 is 29149

GCF of denominators i.e. for 22,7899 is 1.

Thus, LCM of Fractions is 29149.Finally, LCM of Fractions for 283/22, 103/7899 is 29149.