Least Common Multiple of 17/50, 66/600, 242/242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/50, 66/600, 242/242 quickly i.e. 6171 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/50, 66/600, 242/242 is 6171.

LCM(17/50, 66/600, 242/242) = 6171

LCM of 17/50, 66/600, 242/242

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 17/50,66/600,242/242

Given numbers are 17/50,66/600,242/242

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 17,66,242

Least Common Multiple of Numerators i.e. LCM of 17,66,242 is 12342.

GCF of Denominators means GCF of 50,600,242 as per the given fractions.

GCF of 50,600,242 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,66,242

LCM of Fractions 17/50,66/600,242/242 is 6171

2 17, 66, 242
11 17, 33, 121
17, 3, 11

∴ So the LCM of the given numbers is 2 x 11 x 17 x 3 x 11 = 12342

Least Common Multiple of 17,66,242 with GCF Formula

Least Common Multiple of 17,66,242 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 17,66,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,66,242) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(17,66,242) x common factors =1 x 22 = 22

LCM(17,66,242) = ( 17 × 66 × 242 ) / 22

LCM(17,66,242) = 271524 / 22

LCM(17,66,242) = 12342


Lets's calculate GCF of 50,600,242

2 50, 600, 242
25, 300, 121

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12342/2

Therefore the LCM of Fractions 17/50,66/600,242/242 is 6171

Greatest Common Factor of 50,600,242 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,600,242 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Greatest Common Factor

We found the factors 50,600,242 . The biggest common factor number is the GCF number.
So the greatest common factor 50,600,242 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 17/50, 66/600, 242/242

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 17/50, 66/600, 242/242?

Answer: LCM of Numerators as per given numbers 17/50, 66/600, 242/242 is

LCM of Numerators i.e. for 17,66,242 is 12342

GCF of denominators i.e. for 50,600,242 is 2.

Thus, LCM of Fractions is 6171.Finally, LCM of Fractions for 17/50, 66/600, 242/242 is 6171.