Least Common Multiple of 47/866, 67/216, 150/116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/866, 67/216, 150/116 quickly i.e. 236175 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/866, 67/216, 150/116 is 236175.

LCM(47/866, 67/216, 150/116) = 236175

LCM of 47/866, 67/216, 150/116

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 47/866,67/216,150/116

Given numbers are 47/866,67/216,150/116

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 47,67,150

Least Common Multiple of Numerators i.e. LCM of 47,67,150 is 472350.

GCF of Denominators means GCF of 866,216,116 as per the given fractions.

GCF of 866,216,116 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,67,150

LCM of Fractions 47/866,67/216,150/116 is 236175

Given numbers has no common factors except 1. So, there LCM is their product i.e 472350

Least Common Multiple of 47,67,150 with GCF Formula

Least Common Multiple of 47,67,150 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 47,67,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,67,150) = 1

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

GCF(47,67,150) x common factors =1 x 1 = 1

LCM(47,67,150) = ( 47 × 67 × 150 ) / 1

LCM(47,67,150) = 472350 / 1

LCM(47,67,150) = 472350


Lets's calculate GCF of 866,216,116

2 866, 216, 116
433, 108, 58

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 472350/2

Therefore the LCM of Fractions 47/866,67/216,150/116 is 236175

Greatest Common Factor of 866,216,116 By Matching Biggest Common Factor Method

Greatest Common Factor of 866,216,116 By Matching Biggest Common Factor Method

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Greatest Common Factor

We found the factors 866,216,116 . The biggest common factor number is the GCF number.
So the greatest common factor 866,216,116 is 2.


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 47/866, 67/216, 150/116

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 47/866, 67/216, 150/116?

Answer: LCM of Numerators as per given numbers 47/866, 67/216, 150/116 is

LCM of Numerators i.e. for 47,67,150 is 472350

GCF of denominators i.e. for 866,216,116 is 2.

Thus, LCM of Fractions is 236175.Finally, LCM of Fractions for 47/866, 67/216, 150/116 is 236175.