Least Common Multiple of 25/81, 360/16, 314/107

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 25/81, 360/16, 314/107 quickly i.e. 282600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/81, 360/16, 314/107 is 282600.

LCM(25/81, 360/16, 314/107) = 282600

LCM of 25/81, 360/16, 314/107

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 25/81,360/16,314/107

Given numbers are 25/81,360/16,314/107

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 25,360,314

Least Common Multiple of Numerators i.e. LCM of 25,360,314 is 282600.

GCF of Denominators means GCF of 81,16,107 as per the given fractions.

GCF of 81,16,107 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,360,314

LCM of Fractions 25/81,360/16,314/107 is 282600

2 25, 360, 314
5 25, 180, 157
5, 36, 157

∴ So the LCM of the given numbers is 2 x 5 x 5 x 36 x 157 = 282600

Least Common Multiple of 25,360,314 with GCF Formula

Least Common Multiple of 25,360,314 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 25,360,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,360,314) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(25,360,314) x common factors =1 x 10 = 10

LCM(25,360,314) = ( 25 × 360 × 314 ) / 10

LCM(25,360,314) = 2826000 / 10

LCM(25,360,314) = 282600


Lets's calculate GCF of 81,16,107

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 282600/1

Therefore the LCM of Fractions 25/81,360/16,314/107 is 282600

Greatest Common Factor of 81,16,107 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,16,107 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 16

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

1,2,4,8,16

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Greatest Common Factor

We found the factors 81,16,107 . The biggest common factor number is the GCF number.
So the greatest common factor 81,16,107 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 25/81, 360/16, 314/107

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 25/81, 360/16, 314/107?

Answer: LCM of Numerators as per given numbers 25/81, 360/16, 314/107 is

LCM of Numerators i.e. for 25,360,314 is 282600

GCF of denominators i.e. for 81,16,107 is 1.

Thus, LCM of Fractions is 282600.Finally, LCM of Fractions for 25/81, 360/16, 314/107 is 282600.