Least Common Multiple of 78/89, 84/14, 84/65, 27/967

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/89, 84/14, 84/65, 27/967 quickly i.e. 9828 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/89, 84/14, 84/65, 27/967 is 9828.

LCM(78/89, 84/14, 84/65, 27/967) = 9828

LCM of 78/89, 84/14, 84/65, 27/967

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 78/89,84/14,84/65,27/967

Given numbers are 78/89,84/14,84/65,27/967

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 78,84,84,27

Least Common Multiple of Numerators i.e. LCM of 78,84,84,27 is 9828.

GCF of Denominators means GCF of 89,14,65,967 as per the given fractions.

GCF of 89,14,65,967 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,84,84,27

LCM of Fractions 78/89,84/14,84/65,27/967 is 9828

2 78, 84, 84, 27
2 39, 42, 42, 27
3 39, 21, 21, 27
7 13, 7, 7, 9
13, 1, 1, 9

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 13 x 1 x 1 x 9 = 9828

Least Common Multiple of 78,84,84,27 with GCF Formula

Least Common Multiple of 78,84,84,27 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 78,84,84,27 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,84,84,27) = 3

common factors(in case of two or more numbers have common factors) = 504

GCF(78,84,84,27) x common factors =3 x 504 = 1512

LCM(78,84,84,27) = ( 78 × 84 × 84 × 27 ) / 1512

LCM(78,84,84,27) = 14859936 / 1512

LCM(78,84,84,27) = 9828


Lets's calculate GCF of 89,14,65,967

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9828/1

Therefore the LCM of Fractions 78/89,84/14,84/65,27/967 is 9828

Greatest Common Factor of 89,14,65,967 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,14,65,967 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 14

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

1,2,7,14

Factors of 65

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

1,5,13,65

Factors of 967

List of positive integer factors of 967 that divides 967 without a remainder.

1,967

Greatest Common Factor

We found the factors 89,14,65,967 . The biggest common factor number is the GCF number.
So the greatest common factor 89,14,65,967 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 78/89, 84/14, 84/65, 27/967

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 78/89, 84/14, 84/65, 27/967?

Answer: LCM of Numerators as per given numbers 78/89, 84/14, 84/65, 27/967 is

LCM of Numerators i.e. for 78,84,84,27 is 9828

GCF of denominators i.e. for 89,14,65,967 is 1.

Thus, LCM of Fractions is 9828.Finally, LCM of Fractions for 78/89, 84/14, 84/65, 27/967 is 9828.