Least Common Multiple of 8666/495, 5355/2286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8666/495, 5355/2286 quickly i.e. 736610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8666/495, 5355/2286 is 736610.

LCM(8666/495, 5355/2286) = 736610

LCM of 8666/495, 5355/2286

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 8666/495,5355/2286

Given numbers are 8666/495,5355/2286

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 8666,5355

Least Common Multiple of Numerators i.e. LCM of 8666,5355 is 6629490.

GCF of Denominators means GCF of 495,2286 as per the given fractions.

GCF of 495,2286 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8666,5355

LCM of Fractions 8666/495,5355/2286 is 736610

7 8666, 5355
1238, 765

∴ So the LCM of the given numbers is 7 x 1238 x 765 = 6629490

Least Common Multiple of 8666,5355 with GCF Formula

Least Common Multiple of 8666,5355 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 8666,5355 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8666,5355) = 7

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

GCF(8666,5355) x common factors =7 x 1 = 7

LCM(8666,5355) = ( 8666 × 5355 ) / 7

LCM(8666,5355) = 46406430 / 7

LCM(8666,5355) = 6629490


Lets's calculate GCF of 495,2286

3 495, 2286
3 165, 762
55, 254

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6629490/9

Therefore the LCM of Fractions 8666/495,5355/2286 is 736610

Greatest Common Factor of 495,2286 By Matching Biggest Common Factor Method

Greatest Common Factor of 495,2286 By Matching Biggest Common Factor Method

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Factors of 2286

List of positive integer factors of 2286 that divides 2286 without a remainder.

1,2,3,6,9,18,127,254,381,762,1143,2286

Greatest Common Factor

We found the factors 495,2286 . The biggest common factor number is the GCF number.
So the greatest common factor 495,2286 is 9.


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 8666/495, 5355/2286

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 8666/495, 5355/2286?

Answer: LCM of Numerators as per given numbers 8666/495, 5355/2286 is

LCM of Numerators i.e. for 8666,5355 is 6629490

GCF of denominators i.e. for 495,2286 is 9.

Thus, LCM of Fractions is 736610.Finally, LCM of Fractions for 8666/495, 5355/2286 is 736610.