Least Common Multiple of 387/414, 803/465, 238/191

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 387/414, 803/465, 238/191 quickly i.e. 73961118 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 387/414, 803/465, 238/191 is 73961118.

LCM(387/414, 803/465, 238/191) = 73961118

LCM of 387/414, 803/465, 238/191

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 387/414,803/465,238/191

Given numbers are 387/414,803/465,238/191

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 387,803,238

Least Common Multiple of Numerators i.e. LCM of 387,803,238 is 73961118.

GCF of Denominators means GCF of 414,465,191 as per the given fractions.

GCF of 414,465,191 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 387,803,238

LCM of Fractions 387/414,803/465,238/191 is 73961118

Given numbers has no common factors except 1. So, there LCM is their product i.e 73961118

Least Common Multiple of 387,803,238 with GCF Formula

Least Common Multiple of 387,803,238 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 387,803,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(387,803,238) = 1

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

GCF(387,803,238) x common factors =1 x 1 = 1

LCM(387,803,238) = ( 387 × 803 × 238 ) / 1

LCM(387,803,238) = 73961118 / 1

LCM(387,803,238) = 73961118


Lets's calculate GCF of 414,465,191

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73961118/1

Therefore the LCM of Fractions 387/414,803/465,238/191 is 73961118

Greatest Common Factor of 414,465,191 By Matching Biggest Common Factor Method

Greatest Common Factor of 414,465,191 By Matching Biggest Common Factor Method

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Factors of 191

List of positive integer factors of 191 that divides 191 without a remainder.

1,191

Greatest Common Factor

We found the factors 414,465,191 . The biggest common factor number is the GCF number.
So the greatest common factor 414,465,191 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 387/414, 803/465, 238/191

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 387/414, 803/465, 238/191?

Answer: LCM of Numerators as per given numbers 387/414, 803/465, 238/191 is

LCM of Numerators i.e. for 387,803,238 is 73961118

GCF of denominators i.e. for 414,465,191 is 1.

Thus, LCM of Fractions is 73961118.Finally, LCM of Fractions for 387/414, 803/465, 238/191 is 73961118.