Least Common Multiple of 3084/385, 5386/3895

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3084/385, 5386/3895 quickly i.e. 8305212/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3084/385, 5386/3895 is 8305212/5.

LCM(3084/385, 5386/3895) = 8305212/5

LCM of 3084/385, 5386/3895

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 3084/385,5386/3895

Given numbers are 3084/385,5386/3895

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 3084,5386

Least Common Multiple of Numerators i.e. LCM of 3084,5386 is 8305212.

GCF of Denominators means GCF of 385,3895 as per the given fractions.

GCF of 385,3895 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3084,5386

LCM of Fractions 3084/385,5386/3895 is 8305212/5

2 3084, 5386
1542, 2693

∴ So the LCM of the given numbers is 2 x 1542 x 2693 = 8305212

Least Common Multiple of 3084,5386 with GCF Formula

Least Common Multiple of 3084,5386 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 3084,5386 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3084,5386) = 2

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

GCF(3084,5386) x common factors =2 x 1 = 2

LCM(3084,5386) = ( 3084 × 5386 ) / 2

LCM(3084,5386) = 16610424 / 2

LCM(3084,5386) = 8305212


Lets's calculate GCF of 385,3895

5 385, 3895
77, 779

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8305212/5

Therefore the LCM of Fractions 3084/385,5386/3895 is 8305212/5

Greatest Common Factor of 385,3895 By Matching Biggest Common Factor Method

Greatest Common Factor of 385,3895 By Matching Biggest Common Factor Method

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 3895

List of positive integer factors of 3895 that divides 3895 without a remainder.

1,5,19,41,95,205,779,3895

Greatest Common Factor

We found the factors 385,3895 . The biggest common factor number is the GCF number.
So the greatest common factor 385,3895 is 5.


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 3084/385, 5386/3895

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 3084/385, 5386/3895?

Answer: LCM of Numerators as per given numbers 3084/385, 5386/3895 is

LCM of Numerators i.e. for 3084,5386 is 8305212

GCF of denominators i.e. for 385,3895 is 5.

Thus, LCM of Fractions is 8305212/5.Finally, LCM of Fractions for 3084/385, 5386/3895 is 8305212/5.