Least Common Multiple of 82/38, 72/10, 32/75, 33/412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/38, 72/10, 32/75, 33/412 quickly i.e. 129888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/38, 72/10, 32/75, 33/412 is 129888.

LCM(82/38, 72/10, 32/75, 33/412) = 129888

LCM of 82/38, 72/10, 32/75, 33/412

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 82/38,72/10,32/75,33/412

Given numbers are 82/38,72/10,32/75,33/412

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 82,72,32,33

Least Common Multiple of Numerators i.e. LCM of 82,72,32,33 is 129888.

GCF of Denominators means GCF of 38,10,75,412 as per the given fractions.

GCF of 38,10,75,412 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,72,32,33

LCM of Fractions 82/38,72/10,32/75,33/412 is 129888

2 82, 72, 32, 33
2 41, 36, 16, 33
2 41, 18, 8, 33
3 41, 9, 4, 33
41, 3, 4, 11

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 41 x 3 x 4 x 11 = 129888

Least Common Multiple of 82,72,32,33 with GCF Formula

Least Common Multiple of 82,72,32,33 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 82,72,32,33 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,72,32,33) = 1

common factors(in case of two or more numbers have common factors) = 48

GCF(82,72,32,33) x common factors =1 x 48 = 48

LCM(82,72,32,33) = ( 82 × 72 × 32 × 33 ) / 48

LCM(82,72,32,33) = 6234624 / 48

LCM(82,72,32,33) = 129888


Lets's calculate GCF of 38,10,75,412

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 129888/1

Therefore the LCM of Fractions 82/38,72/10,32/75,33/412 is 129888

Greatest Common Factor of 38,10,75,412 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,10,75,412 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 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Greatest Common Factor

We found the factors 38,10,75,412 . The biggest common factor number is the GCF number.
So the greatest common factor 38,10,75,412 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 82/38, 72/10, 32/75, 33/412

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 82/38, 72/10, 32/75, 33/412?

Answer: LCM of Numerators as per given numbers 82/38, 72/10, 32/75, 33/412 is

LCM of Numerators i.e. for 82,72,32,33 is 129888

GCF of denominators i.e. for 38,10,75,412 is 1.

Thus, LCM of Fractions is 129888.Finally, LCM of Fractions for 82/38, 72/10, 32/75, 33/412 is 129888.