Least Common Multiple of 87/237, 966/363, 165/180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/237, 966/363, 165/180 quickly i.e. 513590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/237, 966/363, 165/180 is 513590.

LCM(87/237, 966/363, 165/180) = 513590

LCM of 87/237, 966/363, 165/180

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 87/237,966/363,165/180

Given numbers are 87/237,966/363,165/180

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 87,966,165

Least Common Multiple of Numerators i.e. LCM of 87,966,165 is 1540770.

GCF of Denominators means GCF of 237,363,180 as per the given fractions.

GCF of 237,363,180 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,966,165

LCM of Fractions 87/237,966/363,165/180 is 513590

3 87, 966, 165
29, 322, 55

∴ So the LCM of the given numbers is 3 x 29 x 322 x 55 = 1540770

Least Common Multiple of 87,966,165 with GCF Formula

Least Common Multiple of 87,966,165 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 87,966,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,966,165) = 3

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

GCF(87,966,165) x common factors =3 x 3 = 9

LCM(87,966,165) = ( 87 × 966 × 165 ) / 9

LCM(87,966,165) = 13866930 / 9

LCM(87,966,165) = 1540770


Lets's calculate GCF of 237,363,180

3 237, 363, 180
79, 121, 60

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1540770/3

Therefore the LCM of Fractions 87/237,966/363,165/180 is 513590

Greatest Common Factor of 237,363,180 By Matching Biggest Common Factor Method

Greatest Common Factor of 237,363,180 By Matching Biggest Common Factor Method

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Greatest Common Factor

We found the factors 237,363,180 . The biggest common factor number is the GCF number.
So the greatest common factor 237,363,180 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 87/237, 966/363, 165/180

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 87/237, 966/363, 165/180?

Answer: LCM of Numerators as per given numbers 87/237, 966/363, 165/180 is

LCM of Numerators i.e. for 87,966,165 is 1540770

GCF of denominators i.e. for 237,363,180 is 3.

Thus, LCM of Fractions is 513590.Finally, LCM of Fractions for 87/237, 966/363, 165/180 is 513590.