Least Common Multiple of 19/289, 72/951, 103/235

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/289, 72/951, 103/235 quickly i.e. 140904 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/289, 72/951, 103/235 is 140904.

LCM(19/289, 72/951, 103/235) = 140904

LCM of 19/289, 72/951, 103/235

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 19/289,72/951,103/235

Given numbers are 19/289,72/951,103/235

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 19,72,103

Least Common Multiple of Numerators i.e. LCM of 19,72,103 is 140904.

GCF of Denominators means GCF of 289,951,235 as per the given fractions.

GCF of 289,951,235 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,72,103

LCM of Fractions 19/289,72/951,103/235 is 140904

Given numbers has no common factors except 1. So, there LCM is their product i.e 140904

Least Common Multiple of 19,72,103 with GCF Formula

Least Common Multiple of 19,72,103 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 19,72,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,72,103) = 1

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

GCF(19,72,103) x common factors =1 x 1 = 1

LCM(19,72,103) = ( 19 × 72 × 103 ) / 1

LCM(19,72,103) = 140904 / 1

LCM(19,72,103) = 140904


Lets's calculate GCF of 289,951,235

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 140904/1

Therefore the LCM of Fractions 19/289,72/951,103/235 is 140904

Greatest Common Factor of 289,951,235 By Matching Biggest Common Factor Method

Greatest Common Factor of 289,951,235 By Matching Biggest Common Factor Method

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Factors of 951

List of positive integer factors of 951 that divides 951 without a remainder.

1,3,317,951

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

Greatest Common Factor

We found the factors 289,951,235 . The biggest common factor number is the GCF number.
So the greatest common factor 289,951,235 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 19/289, 72/951, 103/235

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 19/289, 72/951, 103/235?

Answer: LCM of Numerators as per given numbers 19/289, 72/951, 103/235 is

LCM of Numerators i.e. for 19,72,103 is 140904

GCF of denominators i.e. for 289,951,235 is 1.

Thus, LCM of Fractions is 140904.Finally, LCM of Fractions for 19/289, 72/951, 103/235 is 140904.