Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2/21, 22/173, 99/433 quickly i.e. 198 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2/21, 22/173, 99/433 is 198.
LCM(2/21, 22/173, 99/433) = 198
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2/21,22/173,99/433
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 2,22,99
Least Common Multiple of Numerators i.e. LCM of 2,22,99 is 198.
GCF of Denominators means GCF of 21,173,433 as per the given fractions.
GCF of 21,173,433 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2,22,99
2 | 2, 22, 99 |
11 | 1, 11, 99 |
1, 1, 9 |
∴ So the LCM of the given numbers is 2 x 11 x 1 x 1 x 9 = 198
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 2,22,99 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2,22,99) = 1
common factors(in case of two or more numbers have common factors) = 22
GCF(2,22,99) x common factors =1 x 22 = 22
LCM(2,22,99) = ( 2 × 22 × 99 ) / 22
LCM(2,22,99) = 4356 / 22
LCM(2,22,99) = 198
Lets's calculate GCF of 21,173,433
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 198/1
Therefore the LCM of Fractions 2/21,22/173,99/433 is 198
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 173
List of positive integer factors of 173 that divides 173 without a remainder.
1,173
Factors of 433
List of positive integer factors of 433 that divides 433 without a remainder.
1,433
Greatest Common Factor
We found the factors 21,173,433 . The biggest common factor number is the GCF number.
So the greatest common factor 21,173,433 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 2/21, 22/173, 99/433?
Answer: LCM of Numerators as per given numbers 2/21, 22/173, 99/433 is
LCM of Numerators i.e. for 2,22,99 is 198
GCF of denominators i.e. for 21,173,433 is 1.
Thus, LCM of Fractions is 198.Finally, LCM of Fractions for 2/21, 22/173, 99/433 is 198.