Least Common Multiple of 3818/230, 6432/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3818/230, 6432/972 quickly i.e. 6139344 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3818/230, 6432/972 is 6139344.

LCM(3818/230, 6432/972) = 6139344

LCM of 3818/230, 6432/972

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 3818/230,6432/972

Given numbers are 3818/230,6432/972

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 3818,6432

Least Common Multiple of Numerators i.e. LCM of 3818,6432 is 12278688.

GCF of Denominators means GCF of 230,972 as per the given fractions.

GCF of 230,972 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3818,6432

LCM of Fractions 3818/230,6432/972 is 6139344

2 3818, 6432
1909, 3216

∴ So the LCM of the given numbers is 2 x 1909 x 3216 = 12278688

Least Common Multiple of 3818,6432 with GCF Formula

Least Common Multiple of 3818,6432 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 3818,6432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3818,6432) = 2

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

GCF(3818,6432) x common factors =2 x 1 = 2

LCM(3818,6432) = ( 3818 × 6432 ) / 2

LCM(3818,6432) = 24557376 / 2

LCM(3818,6432) = 12278688


Lets's calculate GCF of 230,972

2 230, 972
115, 486

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12278688/2

Therefore the LCM of Fractions 3818/230,6432/972 is 6139344

Greatest Common Factor of 230,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 230,972 By Matching Biggest Common Factor Method

Factors of 230

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

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

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 230,972 . The biggest common factor number is the GCF number.
So the greatest common factor 230,972 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 3818/230, 6432/972

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 3818/230, 6432/972?

Answer: LCM of Numerators as per given numbers 3818/230, 6432/972 is

LCM of Numerators i.e. for 3818,6432 is 12278688

GCF of denominators i.e. for 230,972 is 2.

Thus, LCM of Fractions is 6139344.Finally, LCM of Fractions for 3818/230, 6432/972 is 6139344.