Least Common Multiple of 4744/436, 6272/2382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4744/436, 6272/2382 quickly i.e. 1859648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4744/436, 6272/2382 is 1859648.

LCM(4744/436, 6272/2382) = 1859648

LCM of 4744/436, 6272/2382

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 4744/436,6272/2382

Given numbers are 4744/436,6272/2382

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 4744,6272

Least Common Multiple of Numerators i.e. LCM of 4744,6272 is 3719296.

GCF of Denominators means GCF of 436,2382 as per the given fractions.

GCF of 436,2382 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4744,6272

LCM of Fractions 4744/436,6272/2382 is 1859648

2 4744, 6272
2 2372, 3136
2 1186, 1568
593, 784

∴ So the LCM of the given numbers is 2 x 2 x 2 x 593 x 784 = 3719296

Least Common Multiple of 4744,6272 with GCF Formula

Least Common Multiple of 4744,6272 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 4744,6272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4744,6272) = 8

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

GCF(4744,6272) x common factors =8 x 1 = 8

LCM(4744,6272) = ( 4744 × 6272 ) / 8

LCM(4744,6272) = 29754368 / 8

LCM(4744,6272) = 3719296


Lets's calculate GCF of 436,2382

2 436, 2382
218, 1191

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3719296/2

Therefore the LCM of Fractions 4744/436,6272/2382 is 1859648

Greatest Common Factor of 436,2382 By Matching Biggest Common Factor Method

Greatest Common Factor of 436,2382 By Matching Biggest Common Factor Method

Factors of 436

List of positive integer factors of 436 that divides 436 without a remainder.

1,2,4,109,218,436

Factors of 2382

List of positive integer factors of 2382 that divides 2382 without a remainder.

1,2,3,6,397,794,1191,2382

Greatest Common Factor

We found the factors 436,2382 . The biggest common factor number is the GCF number.
So the greatest common factor 436,2382 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 4744/436, 6272/2382

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 4744/436, 6272/2382?

Answer: LCM of Numerators as per given numbers 4744/436, 6272/2382 is

LCM of Numerators i.e. for 4744,6272 is 3719296

GCF of denominators i.e. for 436,2382 is 2.

Thus, LCM of Fractions is 1859648.Finally, LCM of Fractions for 4744/436, 6272/2382 is 1859648.