Least Common Multiple of 9/20, 69/992, 87/888

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9/20, 69/992, 87/888 quickly i.e. 6003/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9/20, 69/992, 87/888 is 6003/4.

LCM(9/20, 69/992, 87/888) = 6003/4

LCM of 9/20, 69/992, 87/888

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 9/20,69/992,87/888

Given numbers are 9/20,69/992,87/888

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 9,69,87

Least Common Multiple of Numerators i.e. LCM of 9,69,87 is 6003.

GCF of Denominators means GCF of 20,992,888 as per the given fractions.

GCF of 20,992,888 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9,69,87

LCM of Fractions 9/20,69/992,87/888 is 6003/4

3 9, 69, 87
3, 23, 29

∴ So the LCM of the given numbers is 3 x 3 x 23 x 29 = 6003

Least Common Multiple of 9,69,87 with GCF Formula

Least Common Multiple of 9,69,87 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 9,69,87 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9,69,87) = 3

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

GCF(9,69,87) x common factors =3 x 3 = 9

LCM(9,69,87) = ( 9 × 69 × 87 ) / 9

LCM(9,69,87) = 54027 / 9

LCM(9,69,87) = 6003


Lets's calculate GCF of 20,992,888

2 20, 992, 888
2 10, 496, 444
5, 248, 222

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6003/4

Therefore the LCM of Fractions 9/20,69/992,87/888 is 6003/4

Greatest Common Factor of 20,992,888 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,992,888 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Greatest Common Factor

We found the factors 20,992,888 . The biggest common factor number is the GCF number.
So the greatest common factor 20,992,888 is 4.


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 9/20, 69/992, 87/888

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 9/20, 69/992, 87/888?

Answer: LCM of Numerators as per given numbers 9/20, 69/992, 87/888 is

LCM of Numerators i.e. for 9,69,87 is 6003

GCF of denominators i.e. for 20,992,888 is 4.

Thus, LCM of Fractions is 6003/4.Finally, LCM of Fractions for 9/20, 69/992, 87/888 is 6003/4.