Least Common Multiple of 39/19, 105/46, 804/893

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/19, 105/46, 804/893 quickly i.e. 365820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/19, 105/46, 804/893 is 365820.

LCM(39/19, 105/46, 804/893) = 365820

LCM of 39/19, 105/46, 804/893

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 39/19,105/46,804/893

Given numbers are 39/19,105/46,804/893

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 39,105,804

Least Common Multiple of Numerators i.e. LCM of 39,105,804 is 365820.

GCF of Denominators means GCF of 19,46,893 as per the given fractions.

GCF of 19,46,893 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,105,804

LCM of Fractions 39/19,105/46,804/893 is 365820

3 39, 105, 804
13, 35, 268

∴ So the LCM of the given numbers is 3 x 13 x 35 x 268 = 365820

Least Common Multiple of 39,105,804 with GCF Formula

Least Common Multiple of 39,105,804 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 39,105,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,105,804) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(39,105,804) x common factors =3 x 3 = 9

LCM(39,105,804) = ( 39 × 105 × 804 ) / 9

LCM(39,105,804) = 3292380 / 9

LCM(39,105,804) = 365820


Lets's calculate GCF of 19,46,893

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 365820/1

Therefore the LCM of Fractions 39/19,105/46,804/893 is 365820

Greatest Common Factor of 19,46,893 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,46,893 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 893

List of positive integer factors of 893 that divides 893 without a remainder.

1,19,47,893

Greatest Common Factor

We found the factors 19,46,893 . The biggest common factor number is the GCF number.
So the greatest common factor 19,46,893 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 39/19, 105/46, 804/893

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 39/19, 105/46, 804/893?

Answer: LCM of Numerators as per given numbers 39/19, 105/46, 804/893 is

LCM of Numerators i.e. for 39,105,804 is 365820

GCF of denominators i.e. for 19,46,893 is 1.

Thus, LCM of Fractions is 365820.Finally, LCM of Fractions for 39/19, 105/46, 804/893 is 365820.