Least Common Multiple of 27/60, 259/95, 865/695

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/60, 259/95, 865/695 quickly i.e. 1209789 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/60, 259/95, 865/695 is 1209789.

LCM(27/60, 259/95, 865/695) = 1209789

LCM of 27/60, 259/95, 865/695

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 27/60,259/95,865/695

Given numbers are 27/60,259/95,865/695

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 27,259,865

Least Common Multiple of Numerators i.e. LCM of 27,259,865 is 6048945.

GCF of Denominators means GCF of 60,95,695 as per the given fractions.

GCF of 60,95,695 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,259,865

LCM of Fractions 27/60,259/95,865/695 is 1209789

Given numbers has no common factors except 1. So, there LCM is their product i.e 6048945

Least Common Multiple of 27,259,865 with GCF Formula

Least Common Multiple of 27,259,865 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 27,259,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,259,865) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(27,259,865) x common factors =1 x 1 = 1

LCM(27,259,865) = ( 27 × 259 × 865 ) / 1

LCM(27,259,865) = 6048945 / 1

LCM(27,259,865) = 6048945


Lets's calculate GCF of 60,95,695

5 60, 95, 695
12, 19, 139

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6048945/5

Therefore the LCM of Fractions 27/60,259/95,865/695 is 1209789

Greatest Common Factor of 60,95,695 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,95,695 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 695

List of positive integer factors of 695 that divides 695 without a remainder.

1,5,139,695

Greatest Common Factor

We found the factors 60,95,695 . The biggest common factor number is the GCF number.
So the greatest common factor 60,95,695 is 5.


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 27/60, 259/95, 865/695

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 27/60, 259/95, 865/695?

Answer: LCM of Numerators as per given numbers 27/60, 259/95, 865/695 is

LCM of Numerators i.e. for 27,259,865 is 6048945

GCF of denominators i.e. for 60,95,695 is 5.

Thus, LCM of Fractions is 1209789.Finally, LCM of Fractions for 27/60, 259/95, 865/695 is 1209789.