Least Common Multiple of 24/90, 86/699, 813/645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/90, 86/699, 813/645 quickly i.e. 93224 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/90, 86/699, 813/645 is 93224.

LCM(24/90, 86/699, 813/645) = 93224

LCM of 24/90, 86/699, 813/645

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 24/90,86/699,813/645

Given numbers are 24/90,86/699,813/645

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 24,86,813

Least Common Multiple of Numerators i.e. LCM of 24,86,813 is 279672.

GCF of Denominators means GCF of 90,699,645 as per the given fractions.

GCF of 90,699,645 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,86,813

LCM of Fractions 24/90,86/699,813/645 is 93224

2 24, 86, 813
3 12, 43, 813
4, 43, 271

∴ So the LCM of the given numbers is 2 x 3 x 4 x 43 x 271 = 279672

Least Common Multiple of 24,86,813 with GCF Formula

Least Common Multiple of 24,86,813 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 24,86,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,86,813) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(24,86,813) x common factors =1 x 6 = 6

LCM(24,86,813) = ( 24 × 86 × 813 ) / 6

LCM(24,86,813) = 1678032 / 6

LCM(24,86,813) = 279672


Lets's calculate GCF of 90,699,645

3 90, 699, 645
30, 233, 215

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 279672/3

Therefore the LCM of Fractions 24/90,86/699,813/645 is 93224

Greatest Common Factor of 90,699,645 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,699,645 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Greatest Common Factor

We found the factors 90,699,645 . The biggest common factor number is the GCF number.
So the greatest common factor 90,699,645 is 3.


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 24/90, 86/699, 813/645

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 24/90, 86/699, 813/645?

Answer: LCM of Numerators as per given numbers 24/90, 86/699, 813/645 is

LCM of Numerators i.e. for 24,86,813 is 279672

GCF of denominators i.e. for 90,699,645 is 3.

Thus, LCM of Fractions is 93224.Finally, LCM of Fractions for 24/90, 86/699, 813/645 is 93224.