Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 15/801, 7098/9570 quickly i.e. 11830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 15/801, 7098/9570 is 11830.
LCM(15/801, 7098/9570) = 11830
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 15/801,7098/9570
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 15,7098
Least Common Multiple of Numerators i.e. LCM of 15,7098 is 35490.
GCF of Denominators means GCF of 801,9570 as per the given fractions.
GCF of 801,9570 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 15,7098
3 | 15, 7098 |
5, 2366 |
∴ So the LCM of the given numbers is 3 x 5 x 2366 = 35490
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 15,7098 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,7098) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(15,7098) x common factors =3 x 1 = 3
LCM(15,7098) = ( 15 × 7098 ) / 3
LCM(15,7098) = 106470 / 3
LCM(15,7098) = 35490
Lets's calculate GCF of 801,9570
3 | 801, 9570 |
267, 3190 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35490/3
Therefore the LCM of Fractions 15/801,7098/9570 is 11830
Factors of 801
List of positive integer factors of 801 that divides 801 without a remainder.
1,3,9,89,267,801
Factors of 9570
List of positive integer factors of 9570 that divides 9570 without a remainder.
1,2,3,5,6,10,11,15,22,29,30,33,55,58,66,87,110,145,165,174,290,319,330,435,638,870,957,1595,1914,3190,4785,9570
Greatest Common Factor
We found the factors 801,9570 . The biggest common factor number is the GCF number.
So the greatest common factor 801,9570 is 3.
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 15/801, 7098/9570?
Answer: LCM of Numerators as per given numbers 15/801, 7098/9570 is
LCM of Numerators i.e. for 15,7098 is 35490
GCF of denominators i.e. for 801,9570 is 3.
Thus, LCM of Fractions is 11830.Finally, LCM of Fractions for 15/801, 7098/9570 is 11830.