Least Common Multiple of 744/20, 633/37, 312/584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 744/20, 633/37, 312/584 quickly i.e. 2040792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 744/20, 633/37, 312/584 is 2040792.

LCM(744/20, 633/37, 312/584) = 2040792

LCM of 744/20, 633/37, 312/584

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 744/20,633/37,312/584

Given numbers are 744/20,633/37,312/584

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 744,633,312

Least Common Multiple of Numerators i.e. LCM of 744,633,312 is 2040792.

GCF of Denominators means GCF of 20,37,584 as per the given fractions.

GCF of 20,37,584 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 744,633,312

LCM of Fractions 744/20,633/37,312/584 is 2040792

2 744, 633, 312
2 372, 633, 156
2 186, 633, 78
3 93, 633, 39
31, 211, 13

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 31 x 211 x 13 = 2040792

Least Common Multiple of 744,633,312 with GCF Formula

Least Common Multiple of 744,633,312 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 744,633,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,633,312) = 3

common factors(in case of two or more numbers have common factors) = 24

GCF(744,633,312) x common factors =3 x 24 = 72

LCM(744,633,312) = ( 744 × 633 × 312 ) / 72

LCM(744,633,312) = 146937024 / 72

LCM(744,633,312) = 2040792


Lets's calculate GCF of 20,37,584

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2040792/1

Therefore the LCM of Fractions 744/20,633/37,312/584 is 2040792

Greatest Common Factor of 20,37,584 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,37,584 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Greatest Common Factor

We found the factors 20,37,584 . The biggest common factor number is the GCF number.
So the greatest common factor 20,37,584 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 744/20, 633/37, 312/584

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 744/20, 633/37, 312/584?

Answer: LCM of Numerators as per given numbers 744/20, 633/37, 312/584 is

LCM of Numerators i.e. for 744,633,312 is 2040792

GCF of denominators i.e. for 20,37,584 is 1.

Thus, LCM of Fractions is 2040792.Finally, LCM of Fractions for 744/20, 633/37, 312/584 is 2040792.