Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/198, 29/248, 643/806 quickly i.e. 596704 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/198, 29/248, 643/806 is 596704.
LCM(64/198, 29/248, 643/806) = 596704
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/198,29/248,643/806
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 64,29,643
Least Common Multiple of Numerators i.e. LCM of 64,29,643 is 1193408.
GCF of Denominators means GCF of 198,248,806 as per the given fractions.
GCF of 198,248,806 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,29,643
Given numbers has no common factors except 1. So, there LCM is their product i.e 1193408
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 64,29,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,29,643) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(64,29,643) x common factors =1 x 1 = 1
LCM(64,29,643) = ( 64 × 29 × 643 ) / 1
LCM(64,29,643) = 1193408 / 1
LCM(64,29,643) = 1193408
Lets's calculate GCF of 198,248,806
2 | 198, 248, 806 |
99, 124, 403 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1193408/2
Therefore the LCM of Fractions 64/198,29/248,643/806 is 596704
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 248
List of positive integer factors of 248 that divides 248 without a remainder.
1,2,4,8,31,62,124,248
Factors of 806
List of positive integer factors of 806 that divides 806 without a remainder.
1,2,13,26,31,62,403,806
Greatest Common Factor
We found the factors 198,248,806 . The biggest common factor number is the GCF number.
So the greatest common factor 198,248,806 is 2.
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 64/198, 29/248, 643/806?
Answer: LCM of Numerators as per given numbers 64/198, 29/248, 643/806 is
LCM of Numerators i.e. for 64,29,643 is 1193408
GCF of denominators i.e. for 198,248,806 is 2.
Thus, LCM of Fractions is 596704.Finally, LCM of Fractions for 64/198, 29/248, 643/806 is 596704.