Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9060/562, 9571/200 quickly i.e. 43356630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9060/562, 9571/200 is 43356630.
LCM(9060/562, 9571/200) = 43356630
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9060/562,9571/200
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 9060,9571
Least Common Multiple of Numerators i.e. LCM of 9060,9571 is 86713260.
GCF of Denominators means GCF of 562,200 as per the given fractions.
GCF of 562,200 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9060,9571
Given numbers has no common factors except 1. So, there LCM is their product i.e 86713260
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 9060,9571 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9060,9571) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9060,9571) x common factors =1 x 1 = 1
LCM(9060,9571) = ( 9060 × 9571 ) / 1
LCM(9060,9571) = 86713260 / 1
LCM(9060,9571) = 86713260
Lets's calculate GCF of 562,200
2 | 562, 200 |
281, 100 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86713260/2
Therefore the LCM of Fractions 9060/562,9571/200 is 43356630
Factors of 562
List of positive integer factors of 562 that divides 562 without a remainder.
1,2,281,562
Factors of 200
List of positive integer factors of 200 that divides 200 without a remainder.
1,2,4,5,8,10,20,25,40,50,100,200
Greatest Common Factor
We found the factors 562,200 . The biggest common factor number is the GCF number.
So the greatest common factor 562,200 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 9060/562, 9571/200?
Answer: LCM of Numerators as per given numbers 9060/562, 9571/200 is
LCM of Numerators i.e. for 9060,9571 is 86713260
GCF of denominators i.e. for 562,200 is 2.
Thus, LCM of Fractions is 43356630.Finally, LCM of Fractions for 9060/562, 9571/200 is 43356630.