Least Common Multiple of 365/855, 861/543, 933/900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 365/855, 861/543, 933/900 quickly i.e. 32578805 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 365/855, 861/543, 933/900 is 32578805.

LCM(365/855, 861/543, 933/900) = 32578805

LCM of 365/855, 861/543, 933/900

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 365/855,861/543,933/900

Given numbers are 365/855,861/543,933/900

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 365,861,933

Least Common Multiple of Numerators i.e. LCM of 365,861,933 is 97736415.

GCF of Denominators means GCF of 855,543,900 as per the given fractions.

GCF of 855,543,900 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 365,861,933

LCM of Fractions 365/855,861/543,933/900 is 32578805

3 365, 861, 933
365, 287, 311

∴ So the LCM of the given numbers is 3 x 365 x 287 x 311 = 97736415

Least Common Multiple of 365,861,933 with GCF Formula

Least Common Multiple of 365,861,933 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 365,861,933 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(365,861,933) = 1

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

GCF(365,861,933) x common factors =1 x 3 = 3

LCM(365,861,933) = ( 365 × 861 × 933 ) / 3

LCM(365,861,933) = 293209245 / 3

LCM(365,861,933) = 97736415


Lets's calculate GCF of 855,543,900

3 855, 543, 900
285, 181, 300

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 97736415/3

Therefore the LCM of Fractions 365/855,861/543,933/900 is 32578805

Greatest Common Factor of 855,543,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 855,543,900 By Matching Biggest Common Factor Method

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

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 855,543,900 . The biggest common factor number is the GCF number.
So the greatest common factor 855,543,900 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 365/855, 861/543, 933/900

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 365/855, 861/543, 933/900?

Answer: LCM of Numerators as per given numbers 365/855, 861/543, 933/900 is

LCM of Numerators i.e. for 365,861,933 is 97736415

GCF of denominators i.e. for 855,543,900 is 3.

Thus, LCM of Fractions is 32578805.Finally, LCM of Fractions for 365/855, 861/543, 933/900 is 32578805.