Least Common Multiple of 10/39, 72/45, 69/78

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/39, 72/45, 69/78 quickly i.e. 2760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/39, 72/45, 69/78 is 2760.

LCM(10/39, 72/45, 69/78) = 2760

LCM of 10/39, 72/45, 69/78

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 10/39,72/45,69/78

Given numbers are 10/39,72/45,69/78

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 10,72,69

Least Common Multiple of Numerators i.e. LCM of 10,72,69 is 8280.

GCF of Denominators means GCF of 39,45,78 as per the given fractions.

GCF of 39,45,78 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,72,69

LCM of Fractions 10/39,72/45,69/78 is 2760

2 10, 72, 69
3 5, 36, 69
5, 12, 23

∴ So the LCM of the given numbers is 2 x 3 x 5 x 12 x 23 = 8280

Least Common Multiple of 10,72,69 with GCF Formula

Least Common Multiple of 10,72,69 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 10,72,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,72,69) = 1

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

GCF(10,72,69) x common factors =1 x 6 = 6

LCM(10,72,69) = ( 10 × 72 × 69 ) / 6

LCM(10,72,69) = 49680 / 6

LCM(10,72,69) = 8280


Lets's calculate GCF of 39,45,78

3 39, 45, 78
13, 15, 26

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8280/3

Therefore the LCM of Fractions 10/39,72/45,69/78 is 2760

Greatest Common Factor of 39,45,78 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,45,78 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 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Greatest Common Factor

We found the factors 39,45,78 . The biggest common factor number is the GCF number.
So the greatest common factor 39,45,78 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 10/39, 72/45, 69/78

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 10/39, 72/45, 69/78?

Answer: LCM of Numerators as per given numbers 10/39, 72/45, 69/78 is

LCM of Numerators i.e. for 10,72,69 is 8280

GCF of denominators i.e. for 39,45,78 is 3.

Thus, LCM of Fractions is 2760.Finally, LCM of Fractions for 10/39, 72/45, 69/78 is 2760.