Least Common Multiple of 47/51, 76/675, 133/222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/51, 76/675, 133/222 quickly i.e. 25004/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/51, 76/675, 133/222 is 25004/3.

LCM(47/51, 76/675, 133/222) = 25004/3

LCM of 47/51, 76/675, 133/222

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 47/51,76/675,133/222

Given numbers are 47/51,76/675,133/222

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 47,76,133

Least Common Multiple of Numerators i.e. LCM of 47,76,133 is 25004.

GCF of Denominators means GCF of 51,675,222 as per the given fractions.

GCF of 51,675,222 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,76,133

LCM of Fractions 47/51,76/675,133/222 is 25004/3

19 47, 76, 133
47, 4, 7

∴ So the LCM of the given numbers is 19 x 47 x 4 x 7 = 25004

Least Common Multiple of 47,76,133 with GCF Formula

Least Common Multiple of 47,76,133 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 47,76,133 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,76,133) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(47,76,133) x common factors =1 x 19 = 19

LCM(47,76,133) = ( 47 × 76 × 133 ) / 19

LCM(47,76,133) = 475076 / 19

LCM(47,76,133) = 25004


Lets's calculate GCF of 51,675,222

3 51, 675, 222
17, 225, 74

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25004/3

Therefore the LCM of Fractions 47/51,76/675,133/222 is 25004/3

Greatest Common Factor of 51,675,222 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,675,222 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Greatest Common Factor

We found the factors 51,675,222 . The biggest common factor number is the GCF number.
So the greatest common factor 51,675,222 is 3.


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 47/51, 76/675, 133/222

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 47/51, 76/675, 133/222?

Answer: LCM of Numerators as per given numbers 47/51, 76/675, 133/222 is

LCM of Numerators i.e. for 47,76,133 is 25004

GCF of denominators i.e. for 51,675,222 is 3.

Thus, LCM of Fractions is 25004/3.Finally, LCM of Fractions for 47/51, 76/675, 133/222 is 25004/3.