Least Common Multiple of 359/66, 809/8232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 359/66, 809/8232 quickly i.e. 290431/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 359/66, 809/8232 is 290431/6.

LCM(359/66, 809/8232) = 290431/6

LCM of 359/66, 809/8232

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 359/66,809/8232

Given numbers are 359/66,809/8232

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 359,809

Least Common Multiple of Numerators i.e. LCM of 359,809 is 290431.

GCF of Denominators means GCF of 66,8232 as per the given fractions.

GCF of 66,8232 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 359,809

LCM of Fractions 359/66,809/8232 is 290431/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 290431

Least Common Multiple of 359,809 with GCF Formula

Least Common Multiple of 359,809 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 359,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(359,809) = 1

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

GCF(359,809) x common factors =1 x 1 = 1

LCM(359,809) = ( 359 × 809 ) / 1

LCM(359,809) = 290431 / 1

LCM(359,809) = 290431


Lets's calculate GCF of 66,8232

2 66, 8232
3 33, 4116
11, 1372

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 290431/6

Therefore the LCM of Fractions 359/66,809/8232 is 290431/6

Greatest Common Factor of 66,8232 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,8232 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 8232

List of positive integer factors of 8232 that divides 8232 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,49,56,84,98,147,168,196,294,343,392,588,686,1029,1176,1372,2058,2744,4116,8232

Greatest Common Factor

We found the factors 66,8232 . The biggest common factor number is the GCF number.
So the greatest common factor 66,8232 is 6.


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 359/66, 809/8232

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 359/66, 809/8232?

Answer: LCM of Numerators as per given numbers 359/66, 809/8232 is

LCM of Numerators i.e. for 359,809 is 290431

GCF of denominators i.e. for 66,8232 is 6.

Thus, LCM of Fractions is 290431/6.Finally, LCM of Fractions for 359/66, 809/8232 is 290431/6.