Least Common Multiple of 47/201, 52/339, 284/274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 47/201, 52/339, 284/274 quickly i.e. 173524 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/201, 52/339, 284/274 is 173524.

LCM(47/201, 52/339, 284/274) = 173524

LCM of 47/201, 52/339, 284/274

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 47/201,52/339,284/274

Given numbers are 47/201,52/339,284/274

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 47,52,284

Least Common Multiple of Numerators i.e. LCM of 47,52,284 is 173524.

GCF of Denominators means GCF of 201,339,274 as per the given fractions.

GCF of 201,339,274 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,52,284

LCM of Fractions 47/201,52/339,284/274 is 173524

2 47, 52, 284
2 47, 26, 142
47, 13, 71

∴ So the LCM of the given numbers is 2 x 2 x 47 x 13 x 71 = 173524

Least Common Multiple of 47,52,284 with GCF Formula

Least Common Multiple of 47,52,284 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 47,52,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,52,284) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(47,52,284) x common factors =1 x 4 = 4

LCM(47,52,284) = ( 47 × 52 × 284 ) / 4

LCM(47,52,284) = 694096 / 4

LCM(47,52,284) = 173524


Lets's calculate GCF of 201,339,274

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 173524/1

Therefore the LCM of Fractions 47/201,52/339,284/274 is 173524

Greatest Common Factor of 201,339,274 By Matching Biggest Common Factor Method

Greatest Common Factor of 201,339,274 By Matching Biggest Common Factor Method

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Greatest Common Factor

We found the factors 201,339,274 . The biggest common factor number is the GCF number.
So the greatest common factor 201,339,274 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 47/201, 52/339, 284/274

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 47/201, 52/339, 284/274?

Answer: LCM of Numerators as per given numbers 47/201, 52/339, 284/274 is

LCM of Numerators i.e. for 47,52,284 is 173524

GCF of denominators i.e. for 201,339,274 is 1.

Thus, LCM of Fractions is 173524.Finally, LCM of Fractions for 47/201, 52/339, 284/274 is 173524.