Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7402/857, 5193/5590 quickly i.e. 38438586 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7402/857, 5193/5590 is 38438586.
LCM(7402/857, 5193/5590) = 38438586
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7402/857,5193/5590
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 7402,5193
Least Common Multiple of Numerators i.e. LCM of 7402,5193 is 38438586.
GCF of Denominators means GCF of 857,5590 as per the given fractions.
GCF of 857,5590 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7402,5193
Given numbers has no common factors except 1. So, there LCM is their product i.e 38438586
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 7402,5193 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7402,5193) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7402,5193) x common factors =1 x 1 = 1
LCM(7402,5193) = ( 7402 × 5193 ) / 1
LCM(7402,5193) = 38438586 / 1
LCM(7402,5193) = 38438586
Lets's calculate GCF of 857,5590
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38438586/1
Therefore the LCM of Fractions 7402/857,5193/5590 is 38438586
Factors of 857
List of positive integer factors of 857 that divides 857 without a remainder.
1,857
Factors of 5590
List of positive integer factors of 5590 that divides 5590 without a remainder.
1,2,5,10,13,26,43,65,86,130,215,430,559,1118,2795,5590
Greatest Common Factor
We found the factors 857,5590 . The biggest common factor number is the GCF number.
So the greatest common factor 857,5590 is 1.
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 7402/857, 5193/5590?
Answer: LCM of Numerators as per given numbers 7402/857, 5193/5590 is
LCM of Numerators i.e. for 7402,5193 is 38438586
GCF of denominators i.e. for 857,5590 is 1.
Thus, LCM of Fractions is 38438586.Finally, LCM of Fractions for 7402/857, 5193/5590 is 38438586.