Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 199/60, 132/22, 669/824 quickly i.e. 2928882 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 199/60, 132/22, 669/824 is 2928882.
LCM(199/60, 132/22, 669/824) = 2928882
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 199/60,132/22,669/824
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 199,132,669
Least Common Multiple of Numerators i.e. LCM of 199,132,669 is 5857764.
GCF of Denominators means GCF of 60,22,824 as per the given fractions.
GCF of 60,22,824 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 199,132,669
3 | 199, 132, 669 |
199, 44, 223 |
∴ So the LCM of the given numbers is 3 x 199 x 44 x 223 = 5857764
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 199,132,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(199,132,669) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(199,132,669) x common factors =1 x 3 = 3
LCM(199,132,669) = ( 199 × 132 × 669 ) / 3
LCM(199,132,669) = 17573292 / 3
LCM(199,132,669) = 5857764
Lets's calculate GCF of 60,22,824
2 | 60, 22, 824 |
30, 11, 412 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5857764/2
Therefore the LCM of Fractions 199/60,132/22,669/824 is 2928882
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 824
List of positive integer factors of 824 that divides 824 without a remainder.
1,2,4,8,103,206,412,824
Greatest Common Factor
We found the factors 60,22,824 . The biggest common factor number is the GCF number.
So the greatest common factor 60,22,824 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 199/60, 132/22, 669/824?
Answer: LCM of Numerators as per given numbers 199/60, 132/22, 669/824 is
LCM of Numerators i.e. for 199,132,669 is 5857764
GCF of denominators i.e. for 60,22,824 is 2.
Thus, LCM of Fractions is 2928882.Finally, LCM of Fractions for 199/60, 132/22, 669/824 is 2928882.