Least Common Multiple of 87/99, 842/36, 473/609

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/99, 842/36, 473/609 quickly i.e. 11549714 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/99, 842/36, 473/609 is 11549714.

LCM(87/99, 842/36, 473/609) = 11549714

LCM of 87/99, 842/36, 473/609

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 87/99,842/36,473/609

Given numbers are 87/99,842/36,473/609

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 87,842,473

Least Common Multiple of Numerators i.e. LCM of 87,842,473 is 34649142.

GCF of Denominators means GCF of 99,36,609 as per the given fractions.

GCF of 99,36,609 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,842,473

LCM of Fractions 87/99,842/36,473/609 is 11549714

Given numbers has no common factors except 1. So, there LCM is their product i.e 34649142

Least Common Multiple of 87,842,473 with GCF Formula

Least Common Multiple of 87,842,473 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 87,842,473 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,842,473) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(87,842,473) x common factors =1 x 1 = 1

LCM(87,842,473) = ( 87 × 842 × 473 ) / 1

LCM(87,842,473) = 34649142 / 1

LCM(87,842,473) = 34649142


Lets's calculate GCF of 99,36,609

3 99, 36, 609
33, 12, 203

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34649142/3

Therefore the LCM of Fractions 87/99,842/36,473/609 is 11549714

Greatest Common Factor of 99,36,609 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,36,609 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

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 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Greatest Common Factor

We found the factors 99,36,609 . The biggest common factor number is the GCF number.
So the greatest common factor 99,36,609 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 87/99, 842/36, 473/609

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 87/99, 842/36, 473/609?

Answer: LCM of Numerators as per given numbers 87/99, 842/36, 473/609 is

LCM of Numerators i.e. for 87,842,473 is 34649142

GCF of denominators i.e. for 99,36,609 is 3.

Thus, LCM of Fractions is 11549714.Finally, LCM of Fractions for 87/99, 842/36, 473/609 is 11549714.