Least Common Multiple of 25/14, 38/39, 60/16, 78/15

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 25/14, 38/39, 60/16, 78/15 quickly i.e. 74100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/14, 38/39, 60/16, 78/15 is 74100.

LCM(25/14, 38/39, 60/16, 78/15) = 74100

LCM of 25/14, 38/39, 60/16, 78/15

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 25/14,38/39,60/16,78/15

Given numbers are 25/14,38/39,60/16,78/15

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 25,38,60,78

Least Common Multiple of Numerators i.e. LCM of 25,38,60,78 is 74100.

GCF of Denominators means GCF of 14,39,16,15 as per the given fractions.

GCF of 14,39,16,15 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,38,60,78

LCM of Fractions 25/14,38/39,60/16,78/15 is 74100

2 25, 38, 60, 78
3 25, 19, 30, 39
5 25, 19, 10, 13
5, 19, 2, 13

∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 19 x 2 x 13 = 74100

Least Common Multiple of 25,38,60,78 with GCF Formula

Least Common Multiple of 25,38,60,78 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 25,38,60,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,38,60,78) = 1

common factors(in case of two or more numbers have common factors) = 60

GCF(25,38,60,78) x common factors =1 x 60 = 60

LCM(25,38,60,78) = ( 25 × 38 × 60 × 78 ) / 60

LCM(25,38,60,78) = 4446000 / 60

LCM(25,38,60,78) = 74100


Lets's calculate GCF of 14,39,16,15

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74100/1

Therefore the LCM of Fractions 25/14,38/39,60/16,78/15 is 74100

Greatest Common Factor of 14,39,16,15 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,39,16,15 By Matching Biggest Common Factor Method

Factors of 14

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

1,2,7,14

Factors of 39

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

1,3,13,39

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Greatest Common Factor

We found the factors 14,39,16,15 . The biggest common factor number is the GCF number.
So the greatest common factor 14,39,16,15 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 25/14, 38/39, 60/16, 78/15

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 25/14, 38/39, 60/16, 78/15?

Answer: LCM of Numerators as per given numbers 25/14, 38/39, 60/16, 78/15 is

LCM of Numerators i.e. for 25,38,60,78 is 74100

GCF of denominators i.e. for 14,39,16,15 is 1.

Thus, LCM of Fractions is 74100.Finally, LCM of Fractions for 25/14, 38/39, 60/16, 78/15 is 74100.