Least Common Multiple of 87/87, 39/22, 208/423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/87, 39/22, 208/423 quickly i.e. 18096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/87, 39/22, 208/423 is 18096.

LCM(87/87, 39/22, 208/423) = 18096

LCM of 87/87, 39/22, 208/423

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 87/87,39/22,208/423

Given numbers are 87/87,39/22,208/423

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 87,39,208

Least Common Multiple of Numerators i.e. LCM of 87,39,208 is 18096.

GCF of Denominators means GCF of 87,22,423 as per the given fractions.

GCF of 87,22,423 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,39,208

LCM of Fractions 87/87,39/22,208/423 is 18096

3 87, 39, 208
13 29, 13, 208
29, 1, 16

∴ So the LCM of the given numbers is 3 x 13 x 29 x 1 x 16 = 18096

Least Common Multiple of 87,39,208 with GCF Formula

Least Common Multiple of 87,39,208 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 87,39,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,39,208) = 1

common factors(in case of two or more numbers have common factors) = 39

GCF(87,39,208) x common factors =1 x 39 = 39

LCM(87,39,208) = ( 87 × 39 × 208 ) / 39

LCM(87,39,208) = 705744 / 39

LCM(87,39,208) = 18096


Lets's calculate GCF of 87,22,423

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18096/1

Therefore the LCM of Fractions 87/87,39/22,208/423 is 18096

Greatest Common Factor of 87,22,423 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,22,423 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 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Greatest Common Factor

We found the factors 87,22,423 . The biggest common factor number is the GCF number.
So the greatest common factor 87,22,423 is 1.


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 87/87, 39/22, 208/423

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 87/87, 39/22, 208/423?

Answer: LCM of Numerators as per given numbers 87/87, 39/22, 208/423 is

LCM of Numerators i.e. for 87,39,208 is 18096

GCF of denominators i.e. for 87,22,423 is 1.

Thus, LCM of Fractions is 18096.Finally, LCM of Fractions for 87/87, 39/22, 208/423 is 18096.