Least Common Multiple of 38/400, 5336/9532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/400, 5336/9532 quickly i.e. 25346 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/400, 5336/9532 is 25346.

LCM(38/400, 5336/9532) = 25346

LCM of 38/400, 5336/9532

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 38/400,5336/9532

Given numbers are 38/400,5336/9532

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 38,5336

Least Common Multiple of Numerators i.e. LCM of 38,5336 is 101384.

GCF of Denominators means GCF of 400,9532 as per the given fractions.

GCF of 400,9532 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,5336

LCM of Fractions 38/400,5336/9532 is 25346

2 38, 5336
19, 2668

∴ So the LCM of the given numbers is 2 x 19 x 2668 = 101384

Least Common Multiple of 38,5336 with GCF Formula

Least Common Multiple of 38,5336 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 38,5336 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,5336) = 2

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

GCF(38,5336) x common factors =2 x 1 = 2

LCM(38,5336) = ( 38 × 5336 ) / 2

LCM(38,5336) = 202768 / 2

LCM(38,5336) = 101384


Lets's calculate GCF of 400,9532

2 400, 9532
2 200, 4766
100, 2383

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 101384/4

Therefore the LCM of Fractions 38/400,5336/9532 is 25346

Greatest Common Factor of 400,9532 By Matching Biggest Common Factor Method

Greatest Common Factor of 400,9532 By Matching Biggest Common Factor Method

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Factors of 9532

List of positive integer factors of 9532 that divides 9532 without a remainder.

1,2,4,2383,4766,9532

Greatest Common Factor

We found the factors 400,9532 . The biggest common factor number is the GCF number.
So the greatest common factor 400,9532 is 4.


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 38/400, 5336/9532

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 38/400, 5336/9532?

Answer: LCM of Numerators as per given numbers 38/400, 5336/9532 is

LCM of Numerators i.e. for 38,5336 is 101384

GCF of denominators i.e. for 400,9532 is 4.

Thus, LCM of Fractions is 25346.Finally, LCM of Fractions for 38/400, 5336/9532 is 25346.