Least Common Multiple of 492/36, 868/8586

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 492/36, 868/8586 quickly i.e. 106764/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 492/36, 868/8586 is 106764/18.

LCM(492/36, 868/8586) = 106764/18

LCM of 492/36, 868/8586

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 492/36,868/8586

Given numbers are 492/36,868/8586

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 492,868

Least Common Multiple of Numerators i.e. LCM of 492,868 is 106764.

GCF of Denominators means GCF of 36,8586 as per the given fractions.

GCF of 36,8586 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 492,868

LCM of Fractions 492/36,868/8586 is 106764/18

2 492, 868
2 246, 434
123, 217

∴ So the LCM of the given numbers is 2 x 2 x 123 x 217 = 106764

Least Common Multiple of 492,868 with GCF Formula

Least Common Multiple of 492,868 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 492,868 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(492,868) = 4

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

GCF(492,868) x common factors =4 x 1 = 4

LCM(492,868) = ( 492 × 868 ) / 4

LCM(492,868) = 427056 / 4

LCM(492,868) = 106764


Lets's calculate GCF of 36,8586

2 36, 8586
3 18, 4293
3 6, 1431
2, 477

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 106764/18

Therefore the LCM of Fractions 492/36,868/8586 is 106764/18

Greatest Common Factor of 36,8586 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,8586 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 8586

List of positive integer factors of 8586 that divides 8586 without a remainder.

1,2,3,6,9,18,27,53,54,81,106,159,162,318,477,954,1431,2862,4293,8586

Greatest Common Factor

We found the factors 36,8586 . The biggest common factor number is the GCF number.
So the greatest common factor 36,8586 is 18.


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 492/36, 868/8586

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 492/36, 868/8586?

Answer: LCM of Numerators as per given numbers 492/36, 868/8586 is

LCM of Numerators i.e. for 492,868 is 106764

GCF of denominators i.e. for 36,8586 is 18.

Thus, LCM of Fractions is 106764/18.Finally, LCM of Fractions for 492/36, 868/8586 is 106764/18.