Least Common Multiple of 200/238, 5171/136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 200/238, 5171/136 quickly i.e. 1034200/34 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 200/238, 5171/136 is 1034200/34.

LCM(200/238, 5171/136) = 1034200/34

LCM of 200/238, 5171/136

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 200/238,5171/136

Given numbers are 200/238,5171/136

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 200,5171

Least Common Multiple of Numerators i.e. LCM of 200,5171 is 1034200.

GCF of Denominators means GCF of 238,136 as per the given fractions.

GCF of 238,136 is 34 as it is the largest common factor for these numbers.

Lets's calculate LCM of 200,5171

LCM of Fractions 200/238,5171/136 is 1034200/34

Given numbers has no common factors except 1. So, there LCM is their product i.e 1034200

Least Common Multiple of 200,5171 with GCF Formula

Least Common Multiple of 200,5171 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 200,5171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(200,5171) = 1

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

GCF(200,5171) x common factors =1 x 1 = 1

LCM(200,5171) = ( 200 × 5171 ) / 1

LCM(200,5171) = 1034200 / 1

LCM(200,5171) = 1034200


Lets's calculate GCF of 238,136

2 238, 136
17 119, 68
7, 4

∴ So the GCF of the given numbers is 2 x 17 = 34

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1034200/34

Therefore the LCM of Fractions 200/238,5171/136 is 1034200/34

Greatest Common Factor of 238,136 By Matching Biggest Common Factor Method

Greatest Common Factor of 238,136 By Matching Biggest Common Factor Method

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Greatest Common Factor

We found the factors 238,136 . The biggest common factor number is the GCF number.
So the greatest common factor 238,136 is 34.


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 200/238, 5171/136

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 200/238, 5171/136?

Answer: LCM of Numerators as per given numbers 200/238, 5171/136 is

LCM of Numerators i.e. for 200,5171 is 1034200

GCF of denominators i.e. for 238,136 is 34.

Thus, LCM of Fractions is 1034200/34.Finally, LCM of Fractions for 200/238, 5171/136 is 1034200/34.