Least Common Multiple of 200/93, 242/4128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 200/93, 242/4128 quickly i.e. 24200/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 200/93, 242/4128 is 24200/3.

LCM(200/93, 242/4128) = 24200/3

LCM of 200/93, 242/4128

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 200/93,242/4128

Given numbers are 200/93,242/4128

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 200,242

Least Common Multiple of Numerators i.e. LCM of 200,242 is 24200.

GCF of Denominators means GCF of 93,4128 as per the given fractions.

GCF of 93,4128 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 200,242

LCM of Fractions 200/93,242/4128 is 24200/3

2 200, 242
100, 121

∴ So the LCM of the given numbers is 2 x 100 x 121 = 24200

Least Common Multiple of 200,242 with GCF Formula

Least Common Multiple of 200,242 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 200,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(200,242) = 2

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

GCF(200,242) x common factors =2 x 1 = 2

LCM(200,242) = ( 200 × 242 ) / 2

LCM(200,242) = 48400 / 2

LCM(200,242) = 24200


Lets's calculate GCF of 93,4128

3 93, 4128
31, 1376

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24200/3

Therefore the LCM of Fractions 200/93,242/4128 is 24200/3

Greatest Common Factor of 93,4128 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,4128 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 4128

List of positive integer factors of 4128 that divides 4128 without a remainder.

1,2,3,4,6,8,12,16,24,32,43,48,86,96,129,172,258,344,516,688,1032,1376,2064,4128

Greatest Common Factor

We found the factors 93,4128 . The biggest common factor number is the GCF number.
So the greatest common factor 93,4128 is 3.


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 200/93, 242/4128

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 200/93, 242/4128?

Answer: LCM of Numerators as per given numbers 200/93, 242/4128 is

LCM of Numerators i.e. for 200,242 is 24200

GCF of denominators i.e. for 93,4128 is 3.

Thus, LCM of Fractions is 24200/3.Finally, LCM of Fractions for 200/93, 242/4128 is 24200/3.