Least Common Multiple of 20/473, 175/33, 337/242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/473, 175/33, 337/242 quickly i.e. 235900/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/473, 175/33, 337/242 is 235900/11.

LCM(20/473, 175/33, 337/242) = 235900/11

LCM of 20/473, 175/33, 337/242

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 20/473,175/33,337/242

Given numbers are 20/473,175/33,337/242

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 20,175,337

Least Common Multiple of Numerators i.e. LCM of 20,175,337 is 235900.

GCF of Denominators means GCF of 473,33,242 as per the given fractions.

GCF of 473,33,242 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,175,337

LCM of Fractions 20/473,175/33,337/242 is 235900/11

5 20, 175, 337
4, 35, 337

∴ So the LCM of the given numbers is 5 x 4 x 35 x 337 = 235900

Least Common Multiple of 20,175,337 with GCF Formula

Least Common Multiple of 20,175,337 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 20,175,337 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,175,337) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(20,175,337) x common factors =1 x 5 = 5

LCM(20,175,337) = ( 20 × 175 × 337 ) / 5

LCM(20,175,337) = 1179500 / 5

LCM(20,175,337) = 235900


Lets's calculate GCF of 473,33,242

11 473, 33, 242
43, 3, 22

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 235900/11

Therefore the LCM of Fractions 20/473,175/33,337/242 is 235900/11

Greatest Common Factor of 473,33,242 By Matching Biggest Common Factor Method

Greatest Common Factor of 473,33,242 By Matching Biggest Common Factor Method

Factors of 473

List of positive integer factors of 473 that divides 473 without a remainder.

1,11,43,473

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

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 473,33,242 . The biggest common factor number is the GCF number.
So the greatest common factor 473,33,242 is 11.


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 20/473, 175/33, 337/242

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 20/473, 175/33, 337/242?

Answer: LCM of Numerators as per given numbers 20/473, 175/33, 337/242 is

LCM of Numerators i.e. for 20,175,337 is 235900

GCF of denominators i.e. for 473,33,242 is 11.

Thus, LCM of Fractions is 235900/11.Finally, LCM of Fractions for 20/473, 175/33, 337/242 is 235900/11.