Least Common Multiple of 596/784, 7444/638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 596/784, 7444/638 quickly i.e. 554578 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 596/784, 7444/638 is 554578.

LCM(596/784, 7444/638) = 554578

LCM of 596/784, 7444/638

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 596/784,7444/638

Given numbers are 596/784,7444/638

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 596,7444

Least Common Multiple of Numerators i.e. LCM of 596,7444 is 1109156.

GCF of Denominators means GCF of 784,638 as per the given fractions.

GCF of 784,638 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 596,7444

LCM of Fractions 596/784,7444/638 is 554578

2 596, 7444
2 298, 3722
149, 1861

∴ So the LCM of the given numbers is 2 x 2 x 149 x 1861 = 1109156

Least Common Multiple of 596,7444 with GCF Formula

Least Common Multiple of 596,7444 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 596,7444 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(596,7444) = 4

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

GCF(596,7444) x common factors =4 x 1 = 4

LCM(596,7444) = ( 596 × 7444 ) / 4

LCM(596,7444) = 4436624 / 4

LCM(596,7444) = 1109156


Lets's calculate GCF of 784,638

2 784, 638
392, 319

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1109156/2

Therefore the LCM of Fractions 596/784,7444/638 is 554578

Greatest Common Factor of 784,638 By Matching Biggest Common Factor Method

Greatest Common Factor of 784,638 By Matching Biggest Common Factor Method

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Greatest Common Factor

We found the factors 784,638 . The biggest common factor number is the GCF number.
So the greatest common factor 784,638 is 2.


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 596/784, 7444/638

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 596/784, 7444/638?

Answer: LCM of Numerators as per given numbers 596/784, 7444/638 is

LCM of Numerators i.e. for 596,7444 is 1109156

GCF of denominators i.e. for 784,638 is 2.

Thus, LCM of Fractions is 554578.Finally, LCM of Fractions for 596/784, 7444/638 is 554578.