Least Common Multiple of 87/663, 75/465, 179/369

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/663, 75/465, 179/369 quickly i.e. 129775 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/663, 75/465, 179/369 is 129775.

LCM(87/663, 75/465, 179/369) = 129775

LCM of 87/663, 75/465, 179/369

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 87/663,75/465,179/369

Given numbers are 87/663,75/465,179/369

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 87,75,179

Least Common Multiple of Numerators i.e. LCM of 87,75,179 is 389325.

GCF of Denominators means GCF of 663,465,369 as per the given fractions.

GCF of 663,465,369 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,75,179

LCM of Fractions 87/663,75/465,179/369 is 129775

3 87, 75, 179
29, 25, 179

∴ So the LCM of the given numbers is 3 x 29 x 25 x 179 = 389325

Least Common Multiple of 87,75,179 with GCF Formula

Least Common Multiple of 87,75,179 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 87,75,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,75,179) = 1

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

GCF(87,75,179) x common factors =1 x 3 = 3

LCM(87,75,179) = ( 87 × 75 × 179 ) / 3

LCM(87,75,179) = 1167975 / 3

LCM(87,75,179) = 389325


Lets's calculate GCF of 663,465,369

3 663, 465, 369
221, 155, 123

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 389325/3

Therefore the LCM of Fractions 87/663,75/465,179/369 is 129775

Greatest Common Factor of 663,465,369 By Matching Biggest Common Factor Method

Greatest Common Factor of 663,465,369 By Matching Biggest Common Factor Method

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Greatest Common Factor

We found the factors 663,465,369 . The biggest common factor number is the GCF number.
So the greatest common factor 663,465,369 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 87/663, 75/465, 179/369

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 87/663, 75/465, 179/369?

Answer: LCM of Numerators as per given numbers 87/663, 75/465, 179/369 is

LCM of Numerators i.e. for 87,75,179 is 389325

GCF of denominators i.e. for 663,465,369 is 3.

Thus, LCM of Fractions is 129775.Finally, LCM of Fractions for 87/663, 75/465, 179/369 is 129775.