Least Common Multiple of 9/27, 9/42, 60/75, 78/696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9/27, 9/42, 60/75, 78/696 quickly i.e. 780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9/27, 9/42, 60/75, 78/696 is 780.

LCM(9/27, 9/42, 60/75, 78/696) = 780

LCM of 9/27, 9/42, 60/75, 78/696

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 9/27,9/42,60/75,78/696

Given numbers are 9/27,9/42,60/75,78/696

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 9,9,60,78

Least Common Multiple of Numerators i.e. LCM of 9,9,60,78 is 2340.

GCF of Denominators means GCF of 27,42,75,696 as per the given fractions.

GCF of 27,42,75,696 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9,9,60,78

LCM of Fractions 9/27,9/42,60/75,78/696 is 780

2 9, 9, 60, 78
3 9, 9, 30, 39
3 3, 3, 10, 13
1, 1, 10, 13

∴ So the LCM of the given numbers is 2 x 3 x 3 x 1 x 1 x 10 x 13 = 2340

Least Common Multiple of 9,9,60,78 with GCF Formula

Least Common Multiple of 9,9,60,78 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 9,9,60,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9,9,60,78) = 3

common factors(in case of two or more numbers have common factors) = 54

GCF(9,9,60,78) x common factors =3 x 54 = 162

LCM(9,9,60,78) = ( 9 × 9 × 60 × 78 ) / 162

LCM(9,9,60,78) = 379080 / 162

LCM(9,9,60,78) = 2340


Lets's calculate GCF of 27,42,75,696

3 27, 42, 75, 696
9, 14, 25, 232

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2340/3

Therefore the LCM of Fractions 9/27,9/42,60/75,78/696 is 780

Greatest Common Factor of 27,42,75,696 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,42,75,696 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Greatest Common Factor

We found the factors 27,42,75,696 . The biggest common factor number is the GCF number.
So the greatest common factor 27,42,75,696 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 9/27, 9/42, 60/75, 78/696

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 9/27, 9/42, 60/75, 78/696?

Answer: LCM of Numerators as per given numbers 9/27, 9/42, 60/75, 78/696 is

LCM of Numerators i.e. for 9,9,60,78 is 2340

GCF of denominators i.e. for 27,42,75,696 is 3.

Thus, LCM of Fractions is 780.Finally, LCM of Fractions for 9/27, 9/42, 60/75, 78/696 is 780.