Least Common Multiple of 986/405, 8704/486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 986/405, 8704/486 quickly i.e. 252416/81 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 986/405, 8704/486 is 252416/81.

LCM(986/405, 8704/486) = 252416/81

LCM of 986/405, 8704/486

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 986/405,8704/486

Given numbers are 986/405,8704/486

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 986,8704

Least Common Multiple of Numerators i.e. LCM of 986,8704 is 252416.

GCF of Denominators means GCF of 405,486 as per the given fractions.

GCF of 405,486 is 81 as it is the largest common factor for these numbers.

Lets's calculate LCM of 986,8704

LCM of Fractions 986/405,8704/486 is 252416/81

2 986, 8704
17 493, 4352
29, 256

∴ So the LCM of the given numbers is 2 x 17 x 29 x 256 = 252416

Least Common Multiple of 986,8704 with GCF Formula

Least Common Multiple of 986,8704 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 986,8704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(986,8704) = 34

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

GCF(986,8704) x common factors =34 x 1 = 34

LCM(986,8704) = ( 986 × 8704 ) / 34

LCM(986,8704) = 8582144 / 34

LCM(986,8704) = 252416


Lets's calculate GCF of 405,486

3 405, 486
3 135, 162
3 45, 54
3 15, 18
5, 6

∴ So the GCF of the given numbers is 3 x 3 x 3 x 3 = 81

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 252416/81

Therefore the LCM of Fractions 986/405,8704/486 is 252416/81

Greatest Common Factor of 405,486 By Matching Biggest Common Factor Method

Greatest Common Factor of 405,486 By Matching Biggest Common Factor Method

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Greatest Common Factor

We found the factors 405,486 . The biggest common factor number is the GCF number.
So the greatest common factor 405,486 is 81.


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 986/405, 8704/486

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 986/405, 8704/486?

Answer: LCM of Numerators as per given numbers 986/405, 8704/486 is

LCM of Numerators i.e. for 986,8704 is 252416

GCF of denominators i.e. for 405,486 is 81.

Thus, LCM of Fractions is 252416/81.Finally, LCM of Fractions for 986/405, 8704/486 is 252416/81.