Least Common Multiple of 19/231, 5291/1255

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 19/231, 5291/1255 quickly i.e. 100529 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/231, 5291/1255 is 100529.

LCM(19/231, 5291/1255) = 100529

LCM of 19/231, 5291/1255

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 19/231,5291/1255

Given numbers are 19/231,5291/1255

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 19,5291

Least Common Multiple of Numerators i.e. LCM of 19,5291 is 100529.

GCF of Denominators means GCF of 231,1255 as per the given fractions.

GCF of 231,1255 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,5291

LCM of Fractions 19/231,5291/1255 is 100529

Given numbers has no common factors except 1. So, there LCM is their product i.e 100529

Least Common Multiple of 19,5291 with GCF Formula

Least Common Multiple of 19,5291 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 19,5291 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,5291) = 1

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

GCF(19,5291) x common factors =1 x 1 = 1

LCM(19,5291) = ( 19 × 5291 ) / 1

LCM(19,5291) = 100529 / 1

LCM(19,5291) = 100529


Lets's calculate GCF of 231,1255

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 100529/1

Therefore the LCM of Fractions 19/231,5291/1255 is 100529

Greatest Common Factor of 231,1255 By Matching Biggest Common Factor Method

Greatest Common Factor of 231,1255 By Matching Biggest Common Factor Method

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Factors of 1255

List of positive integer factors of 1255 that divides 1255 without a remainder.

1,5,251,1255

Greatest Common Factor

We found the factors 231,1255 . The biggest common factor number is the GCF number.
So the greatest common factor 231,1255 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 19/231, 5291/1255

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 19/231, 5291/1255?

Answer: LCM of Numerators as per given numbers 19/231, 5291/1255 is

LCM of Numerators i.e. for 19,5291 is 100529

GCF of denominators i.e. for 231,1255 is 1.

Thus, LCM of Fractions is 100529.Finally, LCM of Fractions for 19/231, 5291/1255 is 100529.