Least Common Multiple of 240/38, 162/5864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 240/38, 162/5864 quickly i.e. 3240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 240/38, 162/5864 is 3240.

LCM(240/38, 162/5864) = 3240

LCM of 240/38, 162/5864

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 240/38,162/5864

Given numbers are 240/38,162/5864

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 240,162

Least Common Multiple of Numerators i.e. LCM of 240,162 is 6480.

GCF of Denominators means GCF of 38,5864 as per the given fractions.

GCF of 38,5864 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 240,162

LCM of Fractions 240/38,162/5864 is 3240

2 240, 162
3 120, 81
40, 27

∴ So the LCM of the given numbers is 2 x 3 x 40 x 27 = 6480

Least Common Multiple of 240,162 with GCF Formula

Least Common Multiple of 240,162 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 240,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,162) = 6

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

GCF(240,162) x common factors =6 x 1 = 6

LCM(240,162) = ( 240 × 162 ) / 6

LCM(240,162) = 38880 / 6

LCM(240,162) = 6480


Lets's calculate GCF of 38,5864

2 38, 5864
19, 2932

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6480/2

Therefore the LCM of Fractions 240/38,162/5864 is 3240

Greatest Common Factor of 38,5864 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,5864 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 5864

List of positive integer factors of 5864 that divides 5864 without a remainder.

1,2,4,8,733,1466,2932,5864

Greatest Common Factor

We found the factors 38,5864 . The biggest common factor number is the GCF number.
So the greatest common factor 38,5864 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 240/38, 162/5864

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 240/38, 162/5864?

Answer: LCM of Numerators as per given numbers 240/38, 162/5864 is

LCM of Numerators i.e. for 240,162 is 6480

GCF of denominators i.e. for 38,5864 is 2.

Thus, LCM of Fractions is 3240.Finally, LCM of Fractions for 240/38, 162/5864 is 3240.