Least Common Multiple of 30/65, 66/72, 56/84

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/65, 66/72, 56/84 quickly i.e. 9240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/65, 66/72, 56/84 is 9240.

LCM(30/65, 66/72, 56/84) = 9240

LCM of 30/65, 66/72, 56/84

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 30/65,66/72,56/84

Given numbers are 30/65,66/72,56/84

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 30,66,56

Least Common Multiple of Numerators i.e. LCM of 30,66,56 is 9240.

GCF of Denominators means GCF of 65,72,84 as per the given fractions.

GCF of 65,72,84 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,66,56

LCM of Fractions 30/65,66/72,56/84 is 9240

2 30, 66, 56
3 15, 33, 28
5, 11, 28

∴ So the LCM of the given numbers is 2 x 3 x 5 x 11 x 28 = 9240

Least Common Multiple of 30,66,56 with GCF Formula

Least Common Multiple of 30,66,56 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 30,66,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,66,56) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(30,66,56) x common factors =2 x 6 = 12

LCM(30,66,56) = ( 30 × 66 × 56 ) / 12

LCM(30,66,56) = 110880 / 12

LCM(30,66,56) = 9240


Lets's calculate GCF of 65,72,84

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9240/1

Therefore the LCM of Fractions 30/65,66/72,56/84 is 9240

Greatest Common Factor of 65,72,84 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,72,84 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Greatest Common Factor

We found the factors 65,72,84 . The biggest common factor number is the GCF number.
So the greatest common factor 65,72,84 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 30/65, 66/72, 56/84

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 30/65, 66/72, 56/84?

Answer: LCM of Numerators as per given numbers 30/65, 66/72, 56/84 is

LCM of Numerators i.e. for 30,66,56 is 9240

GCF of denominators i.e. for 65,72,84 is 1.

Thus, LCM of Fractions is 9240.Finally, LCM of Fractions for 30/65, 66/72, 56/84 is 9240.