Least Common Multiple of 38/382, 983/792, 568/896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/382, 983/792, 568/896 quickly i.e. 5304268 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/382, 983/792, 568/896 is 5304268.

LCM(38/382, 983/792, 568/896) = 5304268

LCM of 38/382, 983/792, 568/896

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 38/382,983/792,568/896

Given numbers are 38/382,983/792,568/896

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 38,983,568

Least Common Multiple of Numerators i.e. LCM of 38,983,568 is 10608536.

GCF of Denominators means GCF of 382,792,896 as per the given fractions.

GCF of 382,792,896 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,983,568

LCM of Fractions 38/382,983/792,568/896 is 5304268

2 38, 983, 568
19, 983, 284

∴ So the LCM of the given numbers is 2 x 19 x 983 x 284 = 10608536

Least Common Multiple of 38,983,568 with GCF Formula

Least Common Multiple of 38,983,568 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 38,983,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,983,568) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(38,983,568) x common factors =1 x 2 = 2

LCM(38,983,568) = ( 38 × 983 × 568 ) / 2

LCM(38,983,568) = 21217072 / 2

LCM(38,983,568) = 10608536


Lets's calculate GCF of 382,792,896

2 382, 792, 896
191, 396, 448

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10608536/2

Therefore the LCM of Fractions 38/382,983/792,568/896 is 5304268

Greatest Common Factor of 382,792,896 By Matching Biggest Common Factor Method

Greatest Common Factor of 382,792,896 By Matching Biggest Common Factor Method

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Greatest Common Factor

We found the factors 382,792,896 . The biggest common factor number is the GCF number.
So the greatest common factor 382,792,896 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 38/382, 983/792, 568/896

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 38/382, 983/792, 568/896?

Answer: LCM of Numerators as per given numbers 38/382, 983/792, 568/896 is

LCM of Numerators i.e. for 38,983,568 is 10608536

GCF of denominators i.e. for 382,792,896 is 2.

Thus, LCM of Fractions is 5304268.Finally, LCM of Fractions for 38/382, 983/792, 568/896 is 5304268.