Least Common Multiple of 83/24, 36/22, 45/32, 40/990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/24, 36/22, 45/32, 40/990 quickly i.e. 14940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/24, 36/22, 45/32, 40/990 is 14940.

LCM(83/24, 36/22, 45/32, 40/990) = 14940

LCM of 83/24, 36/22, 45/32, 40/990

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 83/24,36/22,45/32,40/990

Given numbers are 83/24,36/22,45/32,40/990

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 83,36,45,40

Least Common Multiple of Numerators i.e. LCM of 83,36,45,40 is 29880.

GCF of Denominators means GCF of 24,22,32,990 as per the given fractions.

GCF of 24,22,32,990 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,36,45,40

LCM of Fractions 83/24,36/22,45/32,40/990 is 14940

2 83, 36, 45, 40
2 83, 18, 45, 20
3 83, 9, 45, 10
3 83, 3, 15, 10
5 83, 1, 5, 10
83, 1, 1, 2

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 83 x 1 x 1 x 2 = 29880

Least Common Multiple of 83,36,45,40 with GCF Formula

Least Common Multiple of 83,36,45,40 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 83,36,45,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,36,45,40) = 1

common factors(in case of two or more numbers have common factors) = 180

GCF(83,36,45,40) x common factors =1 x 180 = 180

LCM(83,36,45,40) = ( 83 × 36 × 45 × 40 ) / 180

LCM(83,36,45,40) = 5378400 / 180

LCM(83,36,45,40) = 29880


Lets's calculate GCF of 24,22,32,990

2 24, 22, 32, 990
12, 11, 16, 495

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29880/2

Therefore the LCM of Fractions 83/24,36/22,45/32,40/990 is 14940

Greatest Common Factor of 24,22,32,990 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,22,32,990 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 22

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

1,2,11,22

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

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 24,22,32,990 . The biggest common factor number is the GCF number.
So the greatest common factor 24,22,32,990 is 2.


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 83/24, 36/22, 45/32, 40/990

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 83/24, 36/22, 45/32, 40/990?

Answer: LCM of Numerators as per given numbers 83/24, 36/22, 45/32, 40/990 is

LCM of Numerators i.e. for 83,36,45,40 is 29880

GCF of denominators i.e. for 24,22,32,990 is 2.

Thus, LCM of Fractions is 14940.Finally, LCM of Fractions for 83/24, 36/22, 45/32, 40/990 is 14940.