Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 368/820, 1219/1006 quickly i.e. 9752 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 368/820, 1219/1006 is 9752.
LCM(368/820, 1219/1006) = 9752
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 368/820,1219/1006
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 368,1219
Least Common Multiple of Numerators i.e. LCM of 368,1219 is 19504.
GCF of Denominators means GCF of 820,1006 as per the given fractions.
GCF of 820,1006 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 368,1219
23 | 368, 1219 |
16, 53 |
∴ So the LCM of the given numbers is 23 x 16 x 53 = 19504
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 368,1219 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(368,1219) = 23
common factors(in case of two or more numbers have common factors) = 1
GCF(368,1219) x common factors =23 x 1 = 23
LCM(368,1219) = ( 368 × 1219 ) / 23
LCM(368,1219) = 448592 / 23
LCM(368,1219) = 19504
Lets's calculate GCF of 820,1006
2 | 820, 1006 |
410, 503 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19504/2
Therefore the LCM of Fractions 368/820,1219/1006 is 9752
Factors of 820
List of positive integer factors of 820 that divides 820 without a remainder.
1,2,4,5,10,20,41,82,164,205,410,820
Factors of 1006
List of positive integer factors of 1006 that divides 1006 without a remainder.
1,2,503,1006
Greatest Common Factor
We found the factors 820,1006 . The biggest common factor number is the GCF number.
So the greatest common factor 820,1006 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 368/820, 1219/1006?
Answer: LCM of Numerators as per given numbers 368/820, 1219/1006 is
LCM of Numerators i.e. for 368,1219 is 19504
GCF of denominators i.e. for 820,1006 is 2.
Thus, LCM of Fractions is 9752.Finally, LCM of Fractions for 368/820, 1219/1006 is 9752.