Least Common Multiple of 29/396, 863/287, 458/186

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/396, 863/287, 458/186 quickly i.e. 11462366 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/396, 863/287, 458/186 is 11462366.

LCM(29/396, 863/287, 458/186) = 11462366

LCM of 29/396, 863/287, 458/186

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 29/396,863/287,458/186

Given numbers are 29/396,863/287,458/186

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 29,863,458

Least Common Multiple of Numerators i.e. LCM of 29,863,458 is 11462366.

GCF of Denominators means GCF of 396,287,186 as per the given fractions.

GCF of 396,287,186 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,863,458

LCM of Fractions 29/396,863/287,458/186 is 11462366

Given numbers has no common factors except 1. So, there LCM is their product i.e 11462366

Least Common Multiple of 29,863,458 with GCF Formula

Least Common Multiple of 29,863,458 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 29,863,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,863,458) = 1

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

GCF(29,863,458) x common factors =1 x 1 = 1

LCM(29,863,458) = ( 29 × 863 × 458 ) / 1

LCM(29,863,458) = 11462366 / 1

LCM(29,863,458) = 11462366


Lets's calculate GCF of 396,287,186

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11462366/1

Therefore the LCM of Fractions 29/396,863/287,458/186 is 11462366

Greatest Common Factor of 396,287,186 By Matching Biggest Common Factor Method

Greatest Common Factor of 396,287,186 By Matching Biggest Common Factor Method

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Factors of 287

List of positive integer factors of 287 that divides 287 without a remainder.

1,7,41,287

Factors of 186

List of positive integer factors of 186 that divides 186 without a remainder.

1,2,3,6,31,62,93,186

Greatest Common Factor

We found the factors 396,287,186 . The biggest common factor number is the GCF number.
So the greatest common factor 396,287,186 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 29/396, 863/287, 458/186

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 29/396, 863/287, 458/186?

Answer: LCM of Numerators as per given numbers 29/396, 863/287, 458/186 is

LCM of Numerators i.e. for 29,863,458 is 11462366

GCF of denominators i.e. for 396,287,186 is 1.

Thus, LCM of Fractions is 11462366.Finally, LCM of Fractions for 29/396, 863/287, 458/186 is 11462366.