Least Common Multiple of 864/87, 387/1035

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 864/87, 387/1035 quickly i.e. 12384 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 864/87, 387/1035 is 12384.

LCM(864/87, 387/1035) = 12384

LCM of 864/87, 387/1035

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 864/87,387/1035

Given numbers are 864/87,387/1035

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 864,387

Least Common Multiple of Numerators i.e. LCM of 864,387 is 37152.

GCF of Denominators means GCF of 87,1035 as per the given fractions.

GCF of 87,1035 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 864,387

LCM of Fractions 864/87,387/1035 is 12384

3 864, 387
3 288, 129
96, 43

∴ So the LCM of the given numbers is 3 x 3 x 96 x 43 = 37152

Least Common Multiple of 864,387 with GCF Formula

Least Common Multiple of 864,387 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 864,387 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(864,387) = 9

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

GCF(864,387) x common factors =9 x 1 = 9

LCM(864,387) = ( 864 × 387 ) / 9

LCM(864,387) = 334368 / 9

LCM(864,387) = 37152


Lets's calculate GCF of 87,1035

3 87, 1035
29, 345

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37152/3

Therefore the LCM of Fractions 864/87,387/1035 is 12384

Greatest Common Factor of 87,1035 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,1035 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 1035

List of positive integer factors of 1035 that divides 1035 without a remainder.

1,3,5,9,15,23,45,69,115,207,345,1035

Greatest Common Factor

We found the factors 87,1035 . The biggest common factor number is the GCF number.
So the greatest common factor 87,1035 is 3.


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 864/87, 387/1035

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 864/87, 387/1035?

Answer: LCM of Numerators as per given numbers 864/87, 387/1035 is

LCM of Numerators i.e. for 864,387 is 37152

GCF of denominators i.e. for 87,1035 is 3.

Thus, LCM of Fractions is 12384.Finally, LCM of Fractions for 864/87, 387/1035 is 12384.