Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 43/623, 50/198, 720/481 quickly i.e. 154800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 43/623, 50/198, 720/481 is 154800.
LCM(43/623, 50/198, 720/481) = 154800
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 43/623,50/198,720/481
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 43,50,720
Least Common Multiple of Numerators i.e. LCM of 43,50,720 is 154800.
GCF of Denominators means GCF of 623,198,481 as per the given fractions.
GCF of 623,198,481 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 43,50,720
2 | 43, 50, 720 |
5 | 43, 25, 360 |
43, 5, 72 |
∴ So the LCM of the given numbers is 2 x 5 x 43 x 5 x 72 = 154800
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 43,50,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,50,720) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(43,50,720) x common factors =1 x 10 = 10
LCM(43,50,720) = ( 43 × 50 × 720 ) / 10
LCM(43,50,720) = 1548000 / 10
LCM(43,50,720) = 154800
Lets's calculate GCF of 623,198,481
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 154800/1
Therefore the LCM of Fractions 43/623,50/198,720/481 is 154800
Factors of 623
List of positive integer factors of 623 that divides 623 without a remainder.
1,7,89,623
Factors of 198
List of positive integer factors of 198 that divides 198 without a remainder.
1,2,3,6,9,11,18,22,33,66,99,198
Factors of 481
List of positive integer factors of 481 that divides 481 without a remainder.
1,13,37,481
Greatest Common Factor
We found the factors 623,198,481 . The biggest common factor number is the GCF number.
So the greatest common factor 623,198,481 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 43/623, 50/198, 720/481?
Answer: LCM of Numerators as per given numbers 43/623, 50/198, 720/481 is
LCM of Numerators i.e. for 43,50,720 is 154800
GCF of denominators i.e. for 623,198,481 is 1.
Thus, LCM of Fractions is 154800.Finally, LCM of Fractions for 43/623, 50/198, 720/481 is 154800.