Least Common Multiple of 15/14, 69/72, 36/24, 57/219

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/14, 69/72, 36/24, 57/219 quickly i.e. 78660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/14, 69/72, 36/24, 57/219 is 78660.

LCM(15/14, 69/72, 36/24, 57/219) = 78660

LCM of 15/14, 69/72, 36/24, 57/219

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 15/14,69/72,36/24,57/219

Given numbers are 15/14,69/72,36/24,57/219

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 15,69,36,57

Least Common Multiple of Numerators i.e. LCM of 15,69,36,57 is 78660.

GCF of Denominators means GCF of 14,72,24,219 as per the given fractions.

GCF of 14,72,24,219 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,69,36,57

LCM of Fractions 15/14,69/72,36/24,57/219 is 78660

3 15, 69, 36, 57
5, 23, 12, 19

∴ So the LCM of the given numbers is 3 x 5 x 23 x 12 x 19 = 78660

Least Common Multiple of 15,69,36,57 with GCF Formula

Least Common Multiple of 15,69,36,57 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 15,69,36,57 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,69,36,57) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(15,69,36,57) x common factors =3 x 9 = 27

LCM(15,69,36,57) = ( 15 × 69 × 36 × 57 ) / 27

LCM(15,69,36,57) = 2123820 / 27

LCM(15,69,36,57) = 78660


Lets's calculate GCF of 14,72,24,219

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78660/1

Therefore the LCM of Fractions 15/14,69/72,36/24,57/219 is 78660

Greatest Common Factor of 14,72,24,219 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,72,24,219 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

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 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

Greatest Common Factor

We found the factors 14,72,24,219 . The biggest common factor number is the GCF number.
So the greatest common factor 14,72,24,219 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 15/14, 69/72, 36/24, 57/219

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 15/14, 69/72, 36/24, 57/219?

Answer: LCM of Numerators as per given numbers 15/14, 69/72, 36/24, 57/219 is

LCM of Numerators i.e. for 15,69,36,57 is 78660

GCF of denominators i.e. for 14,72,24,219 is 1.

Thus, LCM of Fractions is 78660.Finally, LCM of Fractions for 15/14, 69/72, 36/24, 57/219 is 78660.