Least Common Multiple of 283/250, 108/775

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 283/250, 108/775 quickly i.e. 30564/25 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 283/250, 108/775 is 30564/25.

LCM(283/250, 108/775) = 30564/25

LCM of 283/250, 108/775

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 283/250,108/775

Given numbers are 283/250,108/775

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 283,108

Least Common Multiple of Numerators i.e. LCM of 283,108 is 30564.

GCF of Denominators means GCF of 250,775 as per the given fractions.

GCF of 250,775 is 25 as it is the largest common factor for these numbers.

Lets's calculate LCM of 283,108

LCM of Fractions 283/250,108/775 is 30564/25

Given numbers has no common factors except 1. So, there LCM is their product i.e 30564

Least Common Multiple of 283,108 with GCF Formula

Least Common Multiple of 283,108 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 283,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(283,108) = 1

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

GCF(283,108) x common factors =1 x 1 = 1

LCM(283,108) = ( 283 × 108 ) / 1

LCM(283,108) = 30564 / 1

LCM(283,108) = 30564


Lets's calculate GCF of 250,775

5 250, 775
5 50, 155
10, 31

∴ So the GCF of the given numbers is 5 x 5 = 25

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30564/25

Therefore the LCM of Fractions 283/250,108/775 is 30564/25

Greatest Common Factor of 250,775 By Matching Biggest Common Factor Method

Greatest Common Factor of 250,775 By Matching Biggest Common Factor Method

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

Greatest Common Factor

We found the factors 250,775 . The biggest common factor number is the GCF number.
So the greatest common factor 250,775 is 25.


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 283/250, 108/775

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 283/250, 108/775?

Answer: LCM of Numerators as per given numbers 283/250, 108/775 is

LCM of Numerators i.e. for 283,108 is 30564

GCF of denominators i.e. for 250,775 is 25.

Thus, LCM of Fractions is 30564/25.Finally, LCM of Fractions for 283/250, 108/775 is 30564/25.