Least Common Multiple of 78/27, 45/36, 35/40, 56/680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/27, 45/36, 35/40, 56/680 quickly i.e. 32760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/27, 45/36, 35/40, 56/680 is 32760.

LCM(78/27, 45/36, 35/40, 56/680) = 32760

LCM of 78/27, 45/36, 35/40, 56/680

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 78/27,45/36,35/40,56/680

Given numbers are 78/27,45/36,35/40,56/680

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 78,45,35,56

Least Common Multiple of Numerators i.e. LCM of 78,45,35,56 is 32760.

GCF of Denominators means GCF of 27,36,40,680 as per the given fractions.

GCF of 27,36,40,680 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,45,35,56

LCM of Fractions 78/27,45/36,35/40,56/680 is 32760

2 78, 45, 35, 56
3 39, 45, 35, 28
5 13, 15, 35, 28
7 13, 3, 7, 28
13, 3, 1, 4

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 13 x 3 x 1 x 4 = 32760

Least Common Multiple of 78,45,35,56 with GCF Formula

Least Common Multiple of 78,45,35,56 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 78,45,35,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,45,35,56) = 1

common factors(in case of two or more numbers have common factors) = 210

GCF(78,45,35,56) x common factors =1 x 210 = 210

LCM(78,45,35,56) = ( 78 × 45 × 35 × 56 ) / 210

LCM(78,45,35,56) = 6879600 / 210

LCM(78,45,35,56) = 32760


Lets's calculate GCF of 27,36,40,680

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32760/1

Therefore the LCM of Fractions 78/27,45/36,35/40,56/680 is 32760

Greatest Common Factor of 27,36,40,680 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,36,40,680 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 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Greatest Common Factor

We found the factors 27,36,40,680 . The biggest common factor number is the GCF number.
So the greatest common factor 27,36,40,680 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 78/27, 45/36, 35/40, 56/680

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 78/27, 45/36, 35/40, 56/680?

Answer: LCM of Numerators as per given numbers 78/27, 45/36, 35/40, 56/680 is

LCM of Numerators i.e. for 78,45,35,56 is 32760

GCF of denominators i.e. for 27,36,40,680 is 1.

Thus, LCM of Fractions is 32760.Finally, LCM of Fractions for 78/27, 45/36, 35/40, 56/680 is 32760.