Least Common Multiple of 38/38, 85/36, 64/39, 80/833

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/38, 85/36, 64/39, 80/833 quickly i.e. 103360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/38, 85/36, 64/39, 80/833 is 103360.

LCM(38/38, 85/36, 64/39, 80/833) = 103360

LCM of 38/38, 85/36, 64/39, 80/833

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 38/38,85/36,64/39,80/833

Given numbers are 38/38,85/36,64/39,80/833

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 38,85,64,80

Least Common Multiple of Numerators i.e. LCM of 38,85,64,80 is 103360.

GCF of Denominators means GCF of 38,36,39,833 as per the given fractions.

GCF of 38,36,39,833 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,85,64,80

LCM of Fractions 38/38,85/36,64/39,80/833 is 103360

2 38, 85, 64, 80
2 19, 85, 32, 40
2 19, 85, 16, 20
2 19, 85, 8, 10
5 19, 85, 4, 5
19, 17, 4, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 19 x 17 x 4 x 1 = 103360

Least Common Multiple of 38,85,64,80 with GCF Formula

Least Common Multiple of 38,85,64,80 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 38,85,64,80 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,85,64,80) = 1

common factors(in case of two or more numbers have common factors) = 160

GCF(38,85,64,80) x common factors =1 x 160 = 160

LCM(38,85,64,80) = ( 38 × 85 × 64 × 80 ) / 160

LCM(38,85,64,80) = 16537600 / 160

LCM(38,85,64,80) = 103360


Lets's calculate GCF of 38,36,39,833

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103360/1

Therefore the LCM of Fractions 38/38,85/36,64/39,80/833 is 103360

Greatest Common Factor of 38,36,39,833 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,36,39,833 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 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 833

List of positive integer factors of 833 that divides 833 without a remainder.

1,7,17,49,119,833

Greatest Common Factor

We found the factors 38,36,39,833 . The biggest common factor number is the GCF number.
So the greatest common factor 38,36,39,833 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 38/38, 85/36, 64/39, 80/833

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 38/38, 85/36, 64/39, 80/833?

Answer: LCM of Numerators as per given numbers 38/38, 85/36, 64/39, 80/833 is

LCM of Numerators i.e. for 38,85,64,80 is 103360

GCF of denominators i.e. for 38,36,39,833 is 1.

Thus, LCM of Fractions is 103360.Finally, LCM of Fractions for 38/38, 85/36, 64/39, 80/833 is 103360.