Least Common Multiple of 369/13, 960/14, 459/655

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 369/13, 960/14, 459/655 quickly i.e. 6022080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 369/13, 960/14, 459/655 is 6022080.

LCM(369/13, 960/14, 459/655) = 6022080

LCM of 369/13, 960/14, 459/655

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 369/13,960/14,459/655

Given numbers are 369/13,960/14,459/655

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 369,960,459

Least Common Multiple of Numerators i.e. LCM of 369,960,459 is 6022080.

GCF of Denominators means GCF of 13,14,655 as per the given fractions.

GCF of 13,14,655 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 369,960,459

LCM of Fractions 369/13,960/14,459/655 is 6022080

3 369, 960, 459
3 123, 320, 153
41, 320, 51

∴ So the LCM of the given numbers is 3 x 3 x 41 x 320 x 51 = 6022080

Least Common Multiple of 369,960,459 with GCF Formula

Least Common Multiple of 369,960,459 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 369,960,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(369,960,459) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(369,960,459) x common factors =3 x 9 = 27

LCM(369,960,459) = ( 369 × 960 × 459 ) / 27

LCM(369,960,459) = 162596160 / 27

LCM(369,960,459) = 6022080


Lets's calculate GCF of 13,14,655

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6022080/1

Therefore the LCM of Fractions 369/13,960/14,459/655 is 6022080

Greatest Common Factor of 13,14,655 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,14,655 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 14

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

1,2,7,14

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1,5,131,655

Greatest Common Factor

We found the factors 13,14,655 . The biggest common factor number is the GCF number.
So the greatest common factor 13,14,655 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 369/13, 960/14, 459/655

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 369/13, 960/14, 459/655?

Answer: LCM of Numerators as per given numbers 369/13, 960/14, 459/655 is

LCM of Numerators i.e. for 369,960,459 is 6022080

GCF of denominators i.e. for 13,14,655 is 1.

Thus, LCM of Fractions is 6022080.Finally, LCM of Fractions for 369/13, 960/14, 459/655 is 6022080.