Least Common Multiple of 51/19, 47/54, 66/381

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/19, 47/54, 66/381 quickly i.e. 52734 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/19, 47/54, 66/381 is 52734.

LCM(51/19, 47/54, 66/381) = 52734

LCM of 51/19, 47/54, 66/381

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 51/19,47/54,66/381

Given numbers are 51/19,47/54,66/381

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 51,47,66

Least Common Multiple of Numerators i.e. LCM of 51,47,66 is 52734.

GCF of Denominators means GCF of 19,54,381 as per the given fractions.

GCF of 19,54,381 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,47,66

LCM of Fractions 51/19,47/54,66/381 is 52734

3 51, 47, 66
17, 47, 22

∴ So the LCM of the given numbers is 3 x 17 x 47 x 22 = 52734

Least Common Multiple of 51,47,66 with GCF Formula

Least Common Multiple of 51,47,66 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 51,47,66 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,47,66) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(51,47,66) x common factors =1 x 3 = 3

LCM(51,47,66) = ( 51 × 47 × 66 ) / 3

LCM(51,47,66) = 158202 / 3

LCM(51,47,66) = 52734


Lets's calculate GCF of 19,54,381

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52734/1

Therefore the LCM of Fractions 51/19,47/54,66/381 is 52734

Greatest Common Factor of 19,54,381 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,54,381 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Greatest Common Factor

We found the factors 19,54,381 . The biggest common factor number is the GCF number.
So the greatest common factor 19,54,381 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 51/19, 47/54, 66/381

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 51/19, 47/54, 66/381?

Answer: LCM of Numerators as per given numbers 51/19, 47/54, 66/381 is

LCM of Numerators i.e. for 51,47,66 is 52734

GCF of denominators i.e. for 19,54,381 is 1.

Thus, LCM of Fractions is 52734.Finally, LCM of Fractions for 51/19, 47/54, 66/381 is 52734.