Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 22/622, 175/481, 441/218 quickly i.e. 242550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 22/622, 175/481, 441/218 is 242550.
LCM(22/622, 175/481, 441/218) = 242550
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 22/622,175/481,441/218
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 22,175,441
Least Common Multiple of Numerators i.e. LCM of 22,175,441 is 242550.
GCF of Denominators means GCF of 622,481,218 as per the given fractions.
GCF of 622,481,218 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 22,175,441
7 | 22, 175, 441 |
22, 25, 63 |
∴ So the LCM of the given numbers is 7 x 22 x 25 x 63 = 242550
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 22,175,441 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,175,441) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(22,175,441) x common factors =1 x 7 = 7
LCM(22,175,441) = ( 22 × 175 × 441 ) / 7
LCM(22,175,441) = 1697850 / 7
LCM(22,175,441) = 242550
Lets's calculate GCF of 622,481,218
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 242550/1
Therefore the LCM of Fractions 22/622,175/481,441/218 is 242550
Factors of 622
List of positive integer factors of 622 that divides 622 without a remainder.
1,2,311,622
Factors of 481
List of positive integer factors of 481 that divides 481 without a remainder.
1,13,37,481
Factors of 218
List of positive integer factors of 218 that divides 218 without a remainder.
1,2,109,218
Greatest Common Factor
We found the factors 622,481,218 . The biggest common factor number is the GCF number.
So the greatest common factor 622,481,218 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 22/622, 175/481, 441/218?
Answer: LCM of Numerators as per given numbers 22/622, 175/481, 441/218 is
LCM of Numerators i.e. for 22,175,441 is 242550
GCF of denominators i.e. for 622,481,218 is 1.
Thus, LCM of Fractions is 242550.Finally, LCM of Fractions for 22/622, 175/481, 441/218 is 242550.