Least Common Multiple of 69/39, 78/43, 14/216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/39, 78/43, 14/216 quickly i.e. 12558 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/39, 78/43, 14/216 is 12558.

LCM(69/39, 78/43, 14/216) = 12558

LCM of 69/39, 78/43, 14/216

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 69/39,78/43,14/216

Given numbers are 69/39,78/43,14/216

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 69,78,14

Least Common Multiple of Numerators i.e. LCM of 69,78,14 is 12558.

GCF of Denominators means GCF of 39,43,216 as per the given fractions.

GCF of 39,43,216 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,78,14

LCM of Fractions 69/39,78/43,14/216 is 12558

2 69, 78, 14
3 69, 39, 7
23, 13, 7

∴ So the LCM of the given numbers is 2 x 3 x 23 x 13 x 7 = 12558

Least Common Multiple of 69,78,14 with GCF Formula

Least Common Multiple of 69,78,14 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 69,78,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,78,14) = 1

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

GCF(69,78,14) x common factors =1 x 6 = 6

LCM(69,78,14) = ( 69 × 78 × 14 ) / 6

LCM(69,78,14) = 75348 / 6

LCM(69,78,14) = 12558


Lets's calculate GCF of 39,43,216

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12558/1

Therefore the LCM of Fractions 69/39,78/43,14/216 is 12558

Greatest Common Factor of 39,43,216 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,43,216 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

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 39,43,216 . The biggest common factor number is the GCF number.
So the greatest common factor 39,43,216 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 69/39, 78/43, 14/216

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 69/39, 78/43, 14/216?

Answer: LCM of Numerators as per given numbers 69/39, 78/43, 14/216 is

LCM of Numerators i.e. for 69,78,14 is 12558

GCF of denominators i.e. for 39,43,216 is 1.

Thus, LCM of Fractions is 12558.Finally, LCM of Fractions for 69/39, 78/43, 14/216 is 12558.