Least Common Multiple of 1587/136, 3186/7865

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1587/136, 3186/7865 quickly i.e. 1685394 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1587/136, 3186/7865 is 1685394.

LCM(1587/136, 3186/7865) = 1685394

LCM of 1587/136, 3186/7865

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 1587/136,3186/7865

Given numbers are 1587/136,3186/7865

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 1587,3186

Least Common Multiple of Numerators i.e. LCM of 1587,3186 is 1685394.

GCF of Denominators means GCF of 136,7865 as per the given fractions.

GCF of 136,7865 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1587,3186

LCM of Fractions 1587/136,3186/7865 is 1685394

3 1587, 3186
529, 1062

∴ So the LCM of the given numbers is 3 x 529 x 1062 = 1685394

Least Common Multiple of 1587,3186 with GCF Formula

Least Common Multiple of 1587,3186 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 1587,3186 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1587,3186) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(1587,3186) x common factors =3 x 1 = 3

LCM(1587,3186) = ( 1587 × 3186 ) / 3

LCM(1587,3186) = 5056182 / 3

LCM(1587,3186) = 1685394


Lets's calculate GCF of 136,7865

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1685394/1

Therefore the LCM of Fractions 1587/136,3186/7865 is 1685394

Greatest Common Factor of 136,7865 By Matching Biggest Common Factor Method

Greatest Common Factor of 136,7865 By Matching Biggest Common Factor Method

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Factors of 7865

List of positive integer factors of 7865 that divides 7865 without a remainder.

1,5,11,13,55,65,121,143,605,715,1573,7865

Greatest Common Factor

We found the factors 136,7865 . The biggest common factor number is the GCF number.
So the greatest common factor 136,7865 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1587/136, 3186/7865

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 1587/136, 3186/7865?

Answer: LCM of Numerators as per given numbers 1587/136, 3186/7865 is

LCM of Numerators i.e. for 1587,3186 is 1685394

GCF of denominators i.e. for 136,7865 is 1.

Thus, LCM of Fractions is 1685394.Finally, LCM of Fractions for 1587/136, 3186/7865 is 1685394.