Least Common Multiple of 38/89, 522/76, 867/442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/89, 522/76, 867/442 quickly i.e. 2866302 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/89, 522/76, 867/442 is 2866302.

LCM(38/89, 522/76, 867/442) = 2866302

LCM of 38/89, 522/76, 867/442

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 38/89,522/76,867/442

Given numbers are 38/89,522/76,867/442

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 38,522,867

Least Common Multiple of Numerators i.e. LCM of 38,522,867 is 2866302.

GCF of Denominators means GCF of 89,76,442 as per the given fractions.

GCF of 89,76,442 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,522,867

LCM of Fractions 38/89,522/76,867/442 is 2866302

2 38, 522, 867
3 19, 261, 867
19, 87, 289

∴ So the LCM of the given numbers is 2 x 3 x 19 x 87 x 289 = 2866302

Least Common Multiple of 38,522,867 with GCF Formula

Least Common Multiple of 38,522,867 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 38,522,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,522,867) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(38,522,867) x common factors =1 x 6 = 6

LCM(38,522,867) = ( 38 × 522 × 867 ) / 6

LCM(38,522,867) = 17197812 / 6

LCM(38,522,867) = 2866302


Lets's calculate GCF of 89,76,442

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2866302/1

Therefore the LCM of Fractions 38/89,522/76,867/442 is 2866302

Greatest Common Factor of 89,76,442 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,76,442 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Greatest Common Factor

We found the factors 89,76,442 . The biggest common factor number is the GCF number.
So the greatest common factor 89,76,442 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 38/89, 522/76, 867/442

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 38/89, 522/76, 867/442?

Answer: LCM of Numerators as per given numbers 38/89, 522/76, 867/442 is

LCM of Numerators i.e. for 38,522,867 is 2866302

GCF of denominators i.e. for 89,76,442 is 1.

Thus, LCM of Fractions is 2866302.Finally, LCM of Fractions for 38/89, 522/76, 867/442 is 2866302.