Least Common Multiple of 19/69, 797/40, 903/253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/69, 797/40, 903/253 quickly i.e. 13674129 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/69, 797/40, 903/253 is 13674129.

LCM(19/69, 797/40, 903/253) = 13674129

LCM of 19/69, 797/40, 903/253

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 19/69,797/40,903/253

Given numbers are 19/69,797/40,903/253

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 19,797,903

Least Common Multiple of Numerators i.e. LCM of 19,797,903 is 13674129.

GCF of Denominators means GCF of 69,40,253 as per the given fractions.

GCF of 69,40,253 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,797,903

LCM of Fractions 19/69,797/40,903/253 is 13674129

Given numbers has no common factors except 1. So, there LCM is their product i.e 13674129

Least Common Multiple of 19,797,903 with GCF Formula

Least Common Multiple of 19,797,903 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 19,797,903 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,797,903) = 1

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

GCF(19,797,903) x common factors =1 x 1 = 1

LCM(19,797,903) = ( 19 × 797 × 903 ) / 1

LCM(19,797,903) = 13674129 / 1

LCM(19,797,903) = 13674129


Lets's calculate GCF of 69,40,253

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13674129/1

Therefore the LCM of Fractions 19/69,797/40,903/253 is 13674129

Greatest Common Factor of 69,40,253 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,40,253 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Greatest Common Factor

We found the factors 69,40,253 . The biggest common factor number is the GCF number.
So the greatest common factor 69,40,253 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 19/69, 797/40, 903/253

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 19/69, 797/40, 903/253?

Answer: LCM of Numerators as per given numbers 19/69, 797/40, 903/253 is

LCM of Numerators i.e. for 19,797,903 is 13674129

GCF of denominators i.e. for 69,40,253 is 1.

Thus, LCM of Fractions is 13674129.Finally, LCM of Fractions for 19/69, 797/40, 903/253 is 13674129.