Least Common Multiple of 399/88, 106/81, 586/458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 399/88, 106/81, 586/458 quickly i.e. 12392142 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 399/88, 106/81, 586/458 is 12392142.

LCM(399/88, 106/81, 586/458) = 12392142

LCM of 399/88, 106/81, 586/458

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 399/88,106/81,586/458

Given numbers are 399/88,106/81,586/458

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 399,106,586

Least Common Multiple of Numerators i.e. LCM of 399,106,586 is 12392142.

GCF of Denominators means GCF of 88,81,458 as per the given fractions.

GCF of 88,81,458 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 399,106,586

LCM of Fractions 399/88,106/81,586/458 is 12392142

2 399, 106, 586
399, 53, 293

∴ So the LCM of the given numbers is 2 x 399 x 53 x 293 = 12392142

Least Common Multiple of 399,106,586 with GCF Formula

Least Common Multiple of 399,106,586 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 399,106,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(399,106,586) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(399,106,586) x common factors =1 x 2 = 2

LCM(399,106,586) = ( 399 × 106 × 586 ) / 2

LCM(399,106,586) = 24784284 / 2

LCM(399,106,586) = 12392142


Lets's calculate GCF of 88,81,458

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12392142/1

Therefore the LCM of Fractions 399/88,106/81,586/458 is 12392142

Greatest Common Factor of 88,81,458 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,81,458 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Greatest Common Factor

We found the factors 88,81,458 . The biggest common factor number is the GCF number.
So the greatest common factor 88,81,458 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 399/88, 106/81, 586/458

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 399/88, 106/81, 586/458?

Answer: LCM of Numerators as per given numbers 399/88, 106/81, 586/458 is

LCM of Numerators i.e. for 399,106,586 is 12392142

GCF of denominators i.e. for 88,81,458 is 1.

Thus, LCM of Fractions is 12392142.Finally, LCM of Fractions for 399/88, 106/81, 586/458 is 12392142.