Least Common Multiple of 386/956, 5234/230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 386/956, 5234/230 quickly i.e. 505081 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 386/956, 5234/230 is 505081.

LCM(386/956, 5234/230) = 505081

LCM of 386/956, 5234/230

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 386/956,5234/230

Given numbers are 386/956,5234/230

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 386,5234

Least Common Multiple of Numerators i.e. LCM of 386,5234 is 1010162.

GCF of Denominators means GCF of 956,230 as per the given fractions.

GCF of 956,230 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 386,5234

LCM of Fractions 386/956,5234/230 is 505081

2 386, 5234
193, 2617

∴ So the LCM of the given numbers is 2 x 193 x 2617 = 1010162

Least Common Multiple of 386,5234 with GCF Formula

Least Common Multiple of 386,5234 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 386,5234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(386,5234) = 2

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

GCF(386,5234) x common factors =2 x 1 = 2

LCM(386,5234) = ( 386 × 5234 ) / 2

LCM(386,5234) = 2020324 / 2

LCM(386,5234) = 1010162


Lets's calculate GCF of 956,230

2 956, 230
478, 115

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1010162/2

Therefore the LCM of Fractions 386/956,5234/230 is 505081

Greatest Common Factor of 956,230 By Matching Biggest Common Factor Method

Greatest Common Factor of 956,230 By Matching Biggest Common Factor Method

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Greatest Common Factor

We found the factors 956,230 . The biggest common factor number is the GCF number.
So the greatest common factor 956,230 is 2.


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 386/956, 5234/230

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 386/956, 5234/230?

Answer: LCM of Numerators as per given numbers 386/956, 5234/230 is

LCM of Numerators i.e. for 386,5234 is 1010162

GCF of denominators i.e. for 956,230 is 2.

Thus, LCM of Fractions is 505081.Finally, LCM of Fractions for 386/956, 5234/230 is 505081.