Least Common Multiple of 405/91, 486/4681

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 405/91, 486/4681 quickly i.e. 2430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 405/91, 486/4681 is 2430.

LCM(405/91, 486/4681) = 2430

LCM of 405/91, 486/4681

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 405/91,486/4681

Given numbers are 405/91,486/4681

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 405,486

Least Common Multiple of Numerators i.e. LCM of 405,486 is 2430.

GCF of Denominators means GCF of 91,4681 as per the given fractions.

GCF of 91,4681 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 405,486

LCM of Fractions 405/91,486/4681 is 2430

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

∴ So the LCM of the given numbers is 3 x 3 x 3 x 3 x 5 x 6 = 2430

Least Common Multiple of 405,486 with GCF Formula

Least Common Multiple of 405,486 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 405,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(405,486) = 81

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

GCF(405,486) x common factors =81 x 1 = 81

LCM(405,486) = ( 405 × 486 ) / 81

LCM(405,486) = 196830 / 81

LCM(405,486) = 2430


Lets's calculate GCF of 91,4681

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2430/1

Therefore the LCM of Fractions 405/91,486/4681 is 2430

Greatest Common Factor of 91,4681 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,4681 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 4681

List of positive integer factors of 4681 that divides 4681 without a remainder.

1,31,151,4681

Greatest Common Factor

We found the factors 91,4681 . The biggest common factor number is the GCF number.
So the greatest common factor 91,4681 is 1.


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 405/91, 486/4681

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 405/91, 486/4681?

Answer: LCM of Numerators as per given numbers 405/91, 486/4681 is

LCM of Numerators i.e. for 405,486 is 2430

GCF of denominators i.e. for 91,4681 is 1.

Thus, LCM of Fractions is 2430.Finally, LCM of Fractions for 405/91, 486/4681 is 2430.