Least Common Multiple of 9/84, 87/414, 31/990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9/84, 87/414, 31/990 quickly i.e. 8091/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9/84, 87/414, 31/990 is 8091/6.

LCM(9/84, 87/414, 31/990) = 8091/6

LCM of 9/84, 87/414, 31/990

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 9/84,87/414,31/990

Given numbers are 9/84,87/414,31/990

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 9,87,31

Least Common Multiple of Numerators i.e. LCM of 9,87,31 is 8091.

GCF of Denominators means GCF of 84,414,990 as per the given fractions.

GCF of 84,414,990 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9,87,31

LCM of Fractions 9/84,87/414,31/990 is 8091/6

3 9, 87, 31
3, 29, 31

∴ So the LCM of the given numbers is 3 x 3 x 29 x 31 = 8091

Least Common Multiple of 9,87,31 with GCF Formula

Least Common Multiple of 9,87,31 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 9,87,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9,87,31) = 1

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

GCF(9,87,31) x common factors =1 x 3 = 3

LCM(9,87,31) = ( 9 × 87 × 31 ) / 3

LCM(9,87,31) = 24273 / 3

LCM(9,87,31) = 8091


Lets's calculate GCF of 84,414,990

2 84, 414, 990
3 42, 207, 495
14, 69, 165

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8091/6

Therefore the LCM of Fractions 9/84,87/414,31/990 is 8091/6

Greatest Common Factor of 84,414,990 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,414,990 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Greatest Common Factor

We found the factors 84,414,990 . The biggest common factor number is the GCF number.
So the greatest common factor 84,414,990 is 6.


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 9/84, 87/414, 31/990

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 9/84, 87/414, 31/990?

Answer: LCM of Numerators as per given numbers 9/84, 87/414, 31/990 is

LCM of Numerators i.e. for 9,87,31 is 8091

GCF of denominators i.e. for 84,414,990 is 6.

Thus, LCM of Fractions is 8091/6.Finally, LCM of Fractions for 9/84, 87/414, 31/990 is 8091/6.