Least Common Multiple of 74/57, 53/52, 71/12, 47/195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/57, 53/52, 71/12, 47/195 quickly i.e. 13087714 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/57, 53/52, 71/12, 47/195 is 13087714.

LCM(74/57, 53/52, 71/12, 47/195) = 13087714

LCM of 74/57, 53/52, 71/12, 47/195

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 74/57,53/52,71/12,47/195

Given numbers are 74/57,53/52,71/12,47/195

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 74,53,71,47

Least Common Multiple of Numerators i.e. LCM of 74,53,71,47 is 13087714.

GCF of Denominators means GCF of 57,52,12,195 as per the given fractions.

GCF of 57,52,12,195 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,53,71,47

LCM of Fractions 74/57,53/52,71/12,47/195 is 13087714

Given numbers has no common factors except 1. So, there LCM is their product i.e 13087714

Least Common Multiple of 74,53,71,47 with GCF Formula

Least Common Multiple of 74,53,71,47 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 74,53,71,47 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,53,71,47) = 1

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

GCF(74,53,71,47) x common factors =1 x 1 = 1

LCM(74,53,71,47) = ( 74 × 53 × 71 × 47 ) / 1

LCM(74,53,71,47) = 13087714 / 1

LCM(74,53,71,47) = 13087714


Lets's calculate GCF of 57,52,12,195

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13087714/1

Therefore the LCM of Fractions 74/57,53/52,71/12,47/195 is 13087714

Greatest Common Factor of 57,52,12,195 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,52,12,195 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Greatest Common Factor

We found the factors 57,52,12,195 . The biggest common factor number is the GCF number.
So the greatest common factor 57,52,12,195 is 1.


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 74/57, 53/52, 71/12, 47/195

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 74/57, 53/52, 71/12, 47/195?

Answer: LCM of Numerators as per given numbers 74/57, 53/52, 71/12, 47/195 is

LCM of Numerators i.e. for 74,53,71,47 is 13087714

GCF of denominators i.e. for 57,52,12,195 is 1.

Thus, LCM of Fractions is 13087714.Finally, LCM of Fractions for 74/57, 53/52, 71/12, 47/195 is 13087714.