Least Common Multiple of 873/12, 141/39, 365/991

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 873/12, 141/39, 365/991 quickly i.e. 14976315 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 873/12, 141/39, 365/991 is 14976315.

LCM(873/12, 141/39, 365/991) = 14976315

LCM of 873/12, 141/39, 365/991

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 873/12,141/39,365/991

Given numbers are 873/12,141/39,365/991

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 873,141,365

Least Common Multiple of Numerators i.e. LCM of 873,141,365 is 14976315.

GCF of Denominators means GCF of 12,39,991 as per the given fractions.

GCF of 12,39,991 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 873,141,365

LCM of Fractions 873/12,141/39,365/991 is 14976315

3 873, 141, 365
291, 47, 365

∴ So the LCM of the given numbers is 3 x 291 x 47 x 365 = 14976315

Least Common Multiple of 873,141,365 with GCF Formula

Least Common Multiple of 873,141,365 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 873,141,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(873,141,365) = 1

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

GCF(873,141,365) x common factors =1 x 3 = 3

LCM(873,141,365) = ( 873 × 141 × 365 ) / 3

LCM(873,141,365) = 44928945 / 3

LCM(873,141,365) = 14976315


Lets's calculate GCF of 12,39,991

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14976315/1

Therefore the LCM of Fractions 873/12,141/39,365/991 is 14976315

Greatest Common Factor of 12,39,991 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,39,991 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 39

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

1,3,13,39

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1,991

Greatest Common Factor

We found the factors 12,39,991 . The biggest common factor number is the GCF number.
So the greatest common factor 12,39,991 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 873/12, 141/39, 365/991

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 873/12, 141/39, 365/991?

Answer: LCM of Numerators as per given numbers 873/12, 141/39, 365/991 is

LCM of Numerators i.e. for 873,141,365 is 14976315

GCF of denominators i.e. for 12,39,991 is 1.

Thus, LCM of Fractions is 14976315.Finally, LCM of Fractions for 873/12, 141/39, 365/991 is 14976315.