Least Common Multiple of 65/87, 276/36, 638/855

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/87, 276/36, 638/855 quickly i.e. 1907620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/87, 276/36, 638/855 is 1907620.

LCM(65/87, 276/36, 638/855) = 1907620

LCM of 65/87, 276/36, 638/855

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 65/87,276/36,638/855

Given numbers are 65/87,276/36,638/855

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 65,276,638

Least Common Multiple of Numerators i.e. LCM of 65,276,638 is 5722860.

GCF of Denominators means GCF of 87,36,855 as per the given fractions.

GCF of 87,36,855 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,276,638

LCM of Fractions 65/87,276/36,638/855 is 1907620

2 65, 276, 638
65, 138, 319

∴ So the LCM of the given numbers is 2 x 65 x 138 x 319 = 5722860

Least Common Multiple of 65,276,638 with GCF Formula

Least Common Multiple of 65,276,638 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 65,276,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,276,638) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(65,276,638) x common factors =1 x 2 = 2

LCM(65,276,638) = ( 65 × 276 × 638 ) / 2

LCM(65,276,638) = 11445720 / 2

LCM(65,276,638) = 5722860


Lets's calculate GCF of 87,36,855

3 87, 36, 855
29, 12, 285

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5722860/3

Therefore the LCM of Fractions 65/87,276/36,638/855 is 1907620

Greatest Common Factor of 87,36,855 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,36,855 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 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Greatest Common Factor

We found the factors 87,36,855 . The biggest common factor number is the GCF number.
So the greatest common factor 87,36,855 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 65/87, 276/36, 638/855

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 65/87, 276/36, 638/855?

Answer: LCM of Numerators as per given numbers 65/87, 276/36, 638/855 is

LCM of Numerators i.e. for 65,276,638 is 5722860

GCF of denominators i.e. for 87,36,855 is 3.

Thus, LCM of Fractions is 1907620.Finally, LCM of Fractions for 65/87, 276/36, 638/855 is 1907620.