Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4369/204, 1989/8416 quickly i.e. 511173/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4369/204, 1989/8416 is 511173/4.
LCM(4369/204, 1989/8416) = 511173/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4369/204,1989/8416
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 4369,1989
Least Common Multiple of Numerators i.e. LCM of 4369,1989 is 511173.
GCF of Denominators means GCF of 204,8416 as per the given fractions.
GCF of 204,8416 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4369,1989
17 | 4369, 1989 |
257, 117 |
∴ So the LCM of the given numbers is 17 x 257 x 117 = 511173
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 4369,1989 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4369,1989) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(4369,1989) x common factors =17 x 1 = 17
LCM(4369,1989) = ( 4369 × 1989 ) / 17
LCM(4369,1989) = 8689941 / 17
LCM(4369,1989) = 511173
Lets's calculate GCF of 204,8416
2 | 204, 8416 |
2 | 102, 4208 |
51, 2104 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 511173/4
Therefore the LCM of Fractions 4369/204,1989/8416 is 511173/4
Factors of 204
List of positive integer factors of 204 that divides 204 without a remainder.
1,2,3,4,6,12,17,34,51,68,102,204
Factors of 8416
List of positive integer factors of 8416 that divides 8416 without a remainder.
1,2,4,8,16,32,263,526,1052,2104,4208,8416
Greatest Common Factor
We found the factors 204,8416 . The biggest common factor number is the GCF number.
So the greatest common factor 204,8416 is 4.
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 4369/204, 1989/8416?
Answer: LCM of Numerators as per given numbers 4369/204, 1989/8416 is
LCM of Numerators i.e. for 4369,1989 is 511173
GCF of denominators i.e. for 204,8416 is 4.
Thus, LCM of Fractions is 511173/4.Finally, LCM of Fractions for 4369/204, 1989/8416 is 511173/4.