Least Common Multiple of 19/689, 81/247, 615/598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/689, 81/247, 615/598 quickly i.e. 315495/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/689, 81/247, 615/598 is 315495/13.

LCM(19/689, 81/247, 615/598) = 315495/13

LCM of 19/689, 81/247, 615/598

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 19/689,81/247,615/598

Given numbers are 19/689,81/247,615/598

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 19,81,615

Least Common Multiple of Numerators i.e. LCM of 19,81,615 is 315495.

GCF of Denominators means GCF of 689,247,598 as per the given fractions.

GCF of 689,247,598 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,81,615

LCM of Fractions 19/689,81/247,615/598 is 315495/13

3 19, 81, 615
19, 27, 205

∴ So the LCM of the given numbers is 3 x 19 x 27 x 205 = 315495

Least Common Multiple of 19,81,615 with GCF Formula

Least Common Multiple of 19,81,615 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 19,81,615 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,81,615) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(19,81,615) x common factors =1 x 3 = 3

LCM(19,81,615) = ( 19 × 81 × 615 ) / 3

LCM(19,81,615) = 946485 / 3

LCM(19,81,615) = 315495


Lets's calculate GCF of 689,247,598

13 689, 247, 598
53, 19, 46

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 315495/13

Therefore the LCM of Fractions 19/689,81/247,615/598 is 315495/13

Greatest Common Factor of 689,247,598 By Matching Biggest Common Factor Method

Greatest Common Factor of 689,247,598 By Matching Biggest Common Factor Method

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Factors of 247

List of positive integer factors of 247 that divides 247 without a remainder.

1,13,19,247

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Greatest Common Factor

We found the factors 689,247,598 . The biggest common factor number is the GCF number.
So the greatest common factor 689,247,598 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 19/689, 81/247, 615/598

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 19/689, 81/247, 615/598?

Answer: LCM of Numerators as per given numbers 19/689, 81/247, 615/598 is

LCM of Numerators i.e. for 19,81,615 is 315495

GCF of denominators i.e. for 689,247,598 is 13.

Thus, LCM of Fractions is 315495/13.Finally, LCM of Fractions for 19/689, 81/247, 615/598 is 315495/13.