Least Common Multiple of 47/30, 74/15, 96/36, 85/216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/30, 74/15, 96/36, 85/216 quickly i.e. 4730080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/30, 74/15, 96/36, 85/216 is 4730080.

LCM(47/30, 74/15, 96/36, 85/216) = 4730080

LCM of 47/30, 74/15, 96/36, 85/216

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 47/30,74/15,96/36,85/216

Given numbers are 47/30,74/15,96/36,85/216

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 47,74,96,85

Least Common Multiple of Numerators i.e. LCM of 47,74,96,85 is 14190240.

GCF of Denominators means GCF of 30,15,36,216 as per the given fractions.

GCF of 30,15,36,216 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,74,96,85

LCM of Fractions 47/30,74/15,96/36,85/216 is 4730080

2 47, 74, 96, 85
47, 37, 48, 85

∴ So the LCM of the given numbers is 2 x 47 x 37 x 48 x 85 = 14190240

Least Common Multiple of 47,74,96,85 with GCF Formula

Least Common Multiple of 47,74,96,85 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 47,74,96,85 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,74,96,85) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(47,74,96,85) x common factors =1 x 2 = 2

LCM(47,74,96,85) = ( 47 × 74 × 96 × 85 ) / 2

LCM(47,74,96,85) = 28380480 / 2

LCM(47,74,96,85) = 14190240


Lets's calculate GCF of 30,15,36,216

3 30, 15, 36, 216
10, 5, 12, 72

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14190240/3

Therefore the LCM of Fractions 47/30,74/15,96/36,85/216 is 4730080

Greatest Common Factor of 30,15,36,216 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,15,36,216 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

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

Greatest Common Factor

We found the factors 30,15,36,216 . The biggest common factor number is the GCF number.
So the greatest common factor 30,15,36,216 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 47/30, 74/15, 96/36, 85/216

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 47/30, 74/15, 96/36, 85/216?

Answer: LCM of Numerators as per given numbers 47/30, 74/15, 96/36, 85/216 is

LCM of Numerators i.e. for 47,74,96,85 is 14190240

GCF of denominators i.e. for 30,15,36,216 is 3.

Thus, LCM of Fractions is 4730080.Finally, LCM of Fractions for 47/30, 74/15, 96/36, 85/216 is 4730080.