Least Common Multiple of 286/36, 299/8148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 286/36, 299/8148 quickly i.e. 6578/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 286/36, 299/8148 is 6578/12.

LCM(286/36, 299/8148) = 6578/12

LCM of 286/36, 299/8148

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 286/36,299/8148

Given numbers are 286/36,299/8148

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 286,299

Least Common Multiple of Numerators i.e. LCM of 286,299 is 6578.

GCF of Denominators means GCF of 36,8148 as per the given fractions.

GCF of 36,8148 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 286,299

LCM of Fractions 286/36,299/8148 is 6578/12

13 286, 299
22, 23

∴ So the LCM of the given numbers is 13 x 22 x 23 = 6578

Least Common Multiple of 286,299 with GCF Formula

Least Common Multiple of 286,299 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 286,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(286,299) = 13

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

GCF(286,299) x common factors =13 x 1 = 13

LCM(286,299) = ( 286 × 299 ) / 13

LCM(286,299) = 85514 / 13

LCM(286,299) = 6578


Lets's calculate GCF of 36,8148

2 36, 8148
2 18, 4074
3 9, 2037
3, 679

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6578/12

Therefore the LCM of Fractions 286/36,299/8148 is 6578/12

Greatest Common Factor of 36,8148 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,8148 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 8148

List of positive integer factors of 8148 that divides 8148 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84,97,194,291,388,582,679,1164,1358,2037,2716,4074,8148

Greatest Common Factor

We found the factors 36,8148 . The biggest common factor number is the GCF number.
So the greatest common factor 36,8148 is 12.


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 286/36, 299/8148

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 286/36, 299/8148?

Answer: LCM of Numerators as per given numbers 286/36, 299/8148 is

LCM of Numerators i.e. for 286,299 is 6578

GCF of denominators i.e. for 36,8148 is 12.

Thus, LCM of Fractions is 6578/12.Finally, LCM of Fractions for 286/36, 299/8148 is 6578/12.