Least Common Multiple of 885/68, 819/27, 301/587

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 885/68, 819/27, 301/587 quickly i.e. 10389015 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 885/68, 819/27, 301/587 is 10389015.

LCM(885/68, 819/27, 301/587) = 10389015

LCM of 885/68, 819/27, 301/587

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 885/68,819/27,301/587

Given numbers are 885/68,819/27,301/587

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 885,819,301

Least Common Multiple of Numerators i.e. LCM of 885,819,301 is 10389015.

GCF of Denominators means GCF of 68,27,587 as per the given fractions.

GCF of 68,27,587 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 885,819,301

LCM of Fractions 885/68,819/27,301/587 is 10389015

3 885, 819, 301
7 295, 273, 301
295, 39, 43

∴ So the LCM of the given numbers is 3 x 7 x 295 x 39 x 43 = 10389015

Least Common Multiple of 885,819,301 with GCF Formula

Least Common Multiple of 885,819,301 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 885,819,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(885,819,301) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(885,819,301) x common factors =1 x 21 = 21

LCM(885,819,301) = ( 885 × 819 × 301 ) / 21

LCM(885,819,301) = 218169315 / 21

LCM(885,819,301) = 10389015


Lets's calculate GCF of 68,27,587

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10389015/1

Therefore the LCM of Fractions 885/68,819/27,301/587 is 10389015

Greatest Common Factor of 68,27,587 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,27,587 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 587

List of positive integer factors of 587 that divides 587 without a remainder.

1,587

Greatest Common Factor

We found the factors 68,27,587 . The biggest common factor number is the GCF number.
So the greatest common factor 68,27,587 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 885/68, 819/27, 301/587

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 885/68, 819/27, 301/587?

Answer: LCM of Numerators as per given numbers 885/68, 819/27, 301/587 is

LCM of Numerators i.e. for 885,819,301 is 10389015

GCF of denominators i.e. for 68,27,587 is 1.

Thus, LCM of Fractions is 10389015.Finally, LCM of Fractions for 885/68, 819/27, 301/587 is 10389015.