Least Common Multiple of 391/27, 560/20, 450/65

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 391/27, 560/20, 450/65 quickly i.e. 9853200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 391/27, 560/20, 450/65 is 9853200.

LCM(391/27, 560/20, 450/65) = 9853200

LCM of 391/27, 560/20, 450/65

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 391/27,560/20,450/65

Given numbers are 391/27,560/20,450/65

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 391,560,450

Least Common Multiple of Numerators i.e. LCM of 391,560,450 is 9853200.

GCF of Denominators means GCF of 27,20,65 as per the given fractions.

GCF of 27,20,65 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 391,560,450

LCM of Fractions 391/27,560/20,450/65 is 9853200

2 391, 560, 450
5 391, 280, 225
391, 56, 45

∴ So the LCM of the given numbers is 2 x 5 x 391 x 56 x 45 = 9853200

Least Common Multiple of 391,560,450 with GCF Formula

Least Common Multiple of 391,560,450 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 391,560,450 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(391,560,450) = 1

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

GCF(391,560,450) x common factors =1 x 10 = 10

LCM(391,560,450) = ( 391 × 560 × 450 ) / 10

LCM(391,560,450) = 98532000 / 10

LCM(391,560,450) = 9853200


Lets's calculate GCF of 27,20,65

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9853200/1

Therefore the LCM of Fractions 391/27,560/20,450/65 is 9853200

Greatest Common Factor of 27,20,65 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,20,65 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 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Greatest Common Factor

We found the factors 27,20,65 . The biggest common factor number is the GCF number.
So the greatest common factor 27,20,65 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 391/27, 560/20, 450/65

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 391/27, 560/20, 450/65?

Answer: LCM of Numerators as per given numbers 391/27, 560/20, 450/65 is

LCM of Numerators i.e. for 391,560,450 is 9853200

GCF of denominators i.e. for 27,20,65 is 1.

Thus, LCM of Fractions is 9853200.Finally, LCM of Fractions for 391/27, 560/20, 450/65 is 9853200.