Least Common Multiple of 13/689, 997/581, 912/323

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/689, 997/581, 912/323 quickly i.e. 11820432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/689, 997/581, 912/323 is 11820432.

LCM(13/689, 997/581, 912/323) = 11820432

LCM of 13/689, 997/581, 912/323

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 13/689,997/581,912/323

Given numbers are 13/689,997/581,912/323

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 13,997,912

Least Common Multiple of Numerators i.e. LCM of 13,997,912 is 11820432.

GCF of Denominators means GCF of 689,581,323 as per the given fractions.

GCF of 689,581,323 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,997,912

LCM of Fractions 13/689,997/581,912/323 is 11820432

Given numbers has no common factors except 1. So, there LCM is their product i.e 11820432

Least Common Multiple of 13,997,912 with GCF Formula

Least Common Multiple of 13,997,912 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 13,997,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,997,912) = 1

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

GCF(13,997,912) x common factors =1 x 1 = 1

LCM(13,997,912) = ( 13 × 997 × 912 ) / 1

LCM(13,997,912) = 11820432 / 1

LCM(13,997,912) = 11820432


Lets's calculate GCF of 689,581,323

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11820432/1

Therefore the LCM of Fractions 13/689,997/581,912/323 is 11820432

Greatest Common Factor of 689,581,323 By Matching Biggest Common Factor Method

Greatest Common Factor of 689,581,323 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 581

List of positive integer factors of 581 that divides 581 without a remainder.

1,7,83,581

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Greatest Common Factor

We found the factors 689,581,323 . The biggest common factor number is the GCF number.
So the greatest common factor 689,581,323 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 13/689, 997/581, 912/323

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 13/689, 997/581, 912/323?

Answer: LCM of Numerators as per given numbers 13/689, 997/581, 912/323 is

LCM of Numerators i.e. for 13,997,912 is 11820432

GCF of denominators i.e. for 689,581,323 is 1.

Thus, LCM of Fractions is 11820432.Finally, LCM of Fractions for 13/689, 997/581, 912/323 is 11820432.