Least Common Multiple of 285/26, 230/7631

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 285/26, 230/7631 quickly i.e. 13110/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 285/26, 230/7631 is 13110/13.

LCM(285/26, 230/7631) = 13110/13

LCM of 285/26, 230/7631

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 285/26,230/7631

Given numbers are 285/26,230/7631

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 285,230

Least Common Multiple of Numerators i.e. LCM of 285,230 is 13110.

GCF of Denominators means GCF of 26,7631 as per the given fractions.

GCF of 26,7631 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 285,230

LCM of Fractions 285/26,230/7631 is 13110/13

5 285, 230
57, 46

∴ So the LCM of the given numbers is 5 x 57 x 46 = 13110

Least Common Multiple of 285,230 with GCF Formula

Least Common Multiple of 285,230 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 285,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(285,230) = 5

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

GCF(285,230) x common factors =5 x 1 = 5

LCM(285,230) = ( 285 × 230 ) / 5

LCM(285,230) = 65550 / 5

LCM(285,230) = 13110


Lets's calculate GCF of 26,7631

13 26, 7631
2, 587

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13110/13

Therefore the LCM of Fractions 285/26,230/7631 is 13110/13

Greatest Common Factor of 26,7631 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,7631 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 7631

List of positive integer factors of 7631 that divides 7631 without a remainder.

1,13,587,7631

Greatest Common Factor

We found the factors 26,7631 . The biggest common factor number is the GCF number.
So the greatest common factor 26,7631 is 13.


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 285/26, 230/7631

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 285/26, 230/7631?

Answer: LCM of Numerators as per given numbers 285/26, 230/7631 is

LCM of Numerators i.e. for 285,230 is 13110

GCF of denominators i.e. for 26,7631 is 13.

Thus, LCM of Fractions is 13110/13.Finally, LCM of Fractions for 285/26, 230/7631 is 13110/13.