Least Common Multiple of 99/33, 85/45, 22/18, 80/861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/33, 85/45, 22/18, 80/861 quickly i.e. 44880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/33, 85/45, 22/18, 80/861 is 44880.

LCM(99/33, 85/45, 22/18, 80/861) = 44880

LCM of 99/33, 85/45, 22/18, 80/861

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 99/33,85/45,22/18,80/861

Given numbers are 99/33,85/45,22/18,80/861

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 99,85,22,80

Least Common Multiple of Numerators i.e. LCM of 99,85,22,80 is 134640.

GCF of Denominators means GCF of 33,45,18,861 as per the given fractions.

GCF of 33,45,18,861 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,85,22,80

LCM of Fractions 99/33,85/45,22/18,80/861 is 44880

2 99, 85, 22, 80
5 99, 85, 11, 40
11 99, 17, 11, 8
9, 17, 1, 8

∴ So the LCM of the given numbers is 2 x 5 x 11 x 9 x 17 x 1 x 8 = 134640

Least Common Multiple of 99,85,22,80 with GCF Formula

Least Common Multiple of 99,85,22,80 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 99,85,22,80 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,85,22,80) = 1

common factors(in case of two or more numbers have common factors) = 110

GCF(99,85,22,80) x common factors =1 x 110 = 110

LCM(99,85,22,80) = ( 99 × 85 × 22 × 80 ) / 110

LCM(99,85,22,80) = 14810400 / 110

LCM(99,85,22,80) = 134640


Lets's calculate GCF of 33,45,18,861

3 33, 45, 18, 861
11, 15, 6, 287

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 134640/3

Therefore the LCM of Fractions 99/33,85/45,22/18,80/861 is 44880

Greatest Common Factor of 33,45,18,861 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,45,18,861 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Greatest Common Factor

We found the factors 33,45,18,861 . The biggest common factor number is the GCF number.
So the greatest common factor 33,45,18,861 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 99/33, 85/45, 22/18, 80/861

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 99/33, 85/45, 22/18, 80/861?

Answer: LCM of Numerators as per given numbers 99/33, 85/45, 22/18, 80/861 is

LCM of Numerators i.e. for 99,85,22,80 is 134640

GCF of denominators i.e. for 33,45,18,861 is 3.

Thus, LCM of Fractions is 44880.Finally, LCM of Fractions for 99/33, 85/45, 22/18, 80/861 is 44880.