Least Common Multiple of 744/18, 583/53, 645/89

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 744/18, 583/53, 645/89 quickly i.e. 93256680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 744/18, 583/53, 645/89 is 93256680.

LCM(744/18, 583/53, 645/89) = 93256680

LCM of 744/18, 583/53, 645/89

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 744/18,583/53,645/89

Given numbers are 744/18,583/53,645/89

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 744,583,645

Least Common Multiple of Numerators i.e. LCM of 744,583,645 is 93256680.

GCF of Denominators means GCF of 18,53,89 as per the given fractions.

GCF of 18,53,89 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 744,583,645

LCM of Fractions 744/18,583/53,645/89 is 93256680

3 744, 583, 645
248, 583, 215

∴ So the LCM of the given numbers is 3 x 248 x 583 x 215 = 93256680

Least Common Multiple of 744,583,645 with GCF Formula

Least Common Multiple of 744,583,645 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 744,583,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,583,645) = 1

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

GCF(744,583,645) x common factors =1 x 3 = 3

LCM(744,583,645) = ( 744 × 583 × 645 ) / 3

LCM(744,583,645) = 279770040 / 3

LCM(744,583,645) = 93256680


Lets's calculate GCF of 18,53,89

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93256680/1

Therefore the LCM of Fractions 744/18,583/53,645/89 is 93256680

Greatest Common Factor of 18,53,89 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,53,89 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Greatest Common Factor

We found the factors 18,53,89 . The biggest common factor number is the GCF number.
So the greatest common factor 18,53,89 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 744/18, 583/53, 645/89

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 744/18, 583/53, 645/89?

Answer: LCM of Numerators as per given numbers 744/18, 583/53, 645/89 is

LCM of Numerators i.e. for 744,583,645 is 93256680

GCF of denominators i.e. for 18,53,89 is 1.

Thus, LCM of Fractions is 93256680.Finally, LCM of Fractions for 744/18, 583/53, 645/89 is 93256680.