Least Common Multiple of 430/271, 304/477, 796/186

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 430/271, 304/477, 796/186 quickly i.e. 13006640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 430/271, 304/477, 796/186 is 13006640.

LCM(430/271, 304/477, 796/186) = 13006640

LCM of 430/271, 304/477, 796/186

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 430/271,304/477,796/186

Given numbers are 430/271,304/477,796/186

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 430,304,796

Least Common Multiple of Numerators i.e. LCM of 430,304,796 is 13006640.

GCF of Denominators means GCF of 271,477,186 as per the given fractions.

GCF of 271,477,186 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 430,304,796

LCM of Fractions 430/271,304/477,796/186 is 13006640

2 430, 304, 796
2 215, 152, 398
215, 76, 199

∴ So the LCM of the given numbers is 2 x 2 x 215 x 76 x 199 = 13006640

Least Common Multiple of 430,304,796 with GCF Formula

Least Common Multiple of 430,304,796 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 430,304,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(430,304,796) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(430,304,796) x common factors =2 x 4 = 8

LCM(430,304,796) = ( 430 × 304 × 796 ) / 8

LCM(430,304,796) = 104053120 / 8

LCM(430,304,796) = 13006640


Lets's calculate GCF of 271,477,186

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13006640/1

Therefore the LCM of Fractions 430/271,304/477,796/186 is 13006640

Greatest Common Factor of 271,477,186 By Matching Biggest Common Factor Method

Greatest Common Factor of 271,477,186 By Matching Biggest Common Factor Method

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

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 271,477,186 . The biggest common factor number is the GCF number.
So the greatest common factor 271,477,186 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 430/271, 304/477, 796/186

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 430/271, 304/477, 796/186?

Answer: LCM of Numerators as per given numbers 430/271, 304/477, 796/186 is

LCM of Numerators i.e. for 430,304,796 is 13006640

GCF of denominators i.e. for 271,477,186 is 1.

Thus, LCM of Fractions is 13006640.Finally, LCM of Fractions for 430/271, 304/477, 796/186 is 13006640.