Least Common Multiple of 369/660, 464/242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 369/660, 464/242 quickly i.e. 171216/22 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 369/660, 464/242 is 171216/22.

LCM(369/660, 464/242) = 171216/22

LCM of 369/660, 464/242

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 369/660,464/242

Given numbers are 369/660,464/242

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 369,464

Least Common Multiple of Numerators i.e. LCM of 369,464 is 171216.

GCF of Denominators means GCF of 660,242 as per the given fractions.

GCF of 660,242 is 22 as it is the largest common factor for these numbers.

Lets's calculate LCM of 369,464

LCM of Fractions 369/660,464/242 is 171216/22

Given numbers has no common factors except 1. So, there LCM is their product i.e 171216

Least Common Multiple of 369,464 with GCF Formula

Least Common Multiple of 369,464 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 369,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(369,464) = 1

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

GCF(369,464) x common factors =1 x 1 = 1

LCM(369,464) = ( 369 × 464 ) / 1

LCM(369,464) = 171216 / 1

LCM(369,464) = 171216


Lets's calculate GCF of 660,242

2 660, 242
11 330, 121
30, 11

∴ So the GCF of the given numbers is 2 x 11 = 22

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 171216/22

Therefore the LCM of Fractions 369/660,464/242 is 171216/22

Greatest Common Factor of 660,242 By Matching Biggest Common Factor Method

Greatest Common Factor of 660,242 By Matching Biggest Common Factor Method

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Greatest Common Factor

We found the factors 660,242 . The biggest common factor number is the GCF number.
So the greatest common factor 660,242 is 22.


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 369/660, 464/242

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 369/660, 464/242?

Answer: LCM of Numerators as per given numbers 369/660, 464/242 is

LCM of Numerators i.e. for 369,464 is 171216

GCF of denominators i.e. for 660,242 is 22.

Thus, LCM of Fractions is 171216/22.Finally, LCM of Fractions for 369/660, 464/242 is 171216/22.