Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 199/16, 866/92, 321/30 quickly i.e. 27659607 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 199/16, 866/92, 321/30 is 27659607.
LCM(199/16, 866/92, 321/30) = 27659607
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 199/16,866/92,321/30
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 199,866,321
Least Common Multiple of Numerators i.e. LCM of 199,866,321 is 55319214.
GCF of Denominators means GCF of 16,92,30 as per the given fractions.
GCF of 16,92,30 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 199,866,321
Given numbers has no common factors except 1. So, there LCM is their product i.e 55319214
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 199,866,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(199,866,321) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(199,866,321) x common factors =1 x 1 = 1
LCM(199,866,321) = ( 199 × 866 × 321 ) / 1
LCM(199,866,321) = 55319214 / 1
LCM(199,866,321) = 55319214
Lets's calculate GCF of 16,92,30
2 | 16, 92, 30 |
8, 46, 15 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55319214/2
Therefore the LCM of Fractions 199/16,866/92,321/30 is 27659607
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Greatest Common Factor
We found the factors 16,92,30 . The biggest common factor number is the GCF number.
So the greatest common factor 16,92,30 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 199/16, 866/92, 321/30?
Answer: LCM of Numerators as per given numbers 199/16, 866/92, 321/30 is
LCM of Numerators i.e. for 199,866,321 is 55319214
GCF of denominators i.e. for 16,92,30 is 2.
Thus, LCM of Fractions is 27659607.Finally, LCM of Fractions for 199/16, 866/92, 321/30 is 27659607.