Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 47/592, 626/220, 635/997 quickly i.e. 18682970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 47/592, 626/220, 635/997 is 18682970.
LCM(47/592, 626/220, 635/997) = 18682970
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 47/592,626/220,635/997
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 47,626,635
Least Common Multiple of Numerators i.e. LCM of 47,626,635 is 18682970.
GCF of Denominators means GCF of 592,220,997 as per the given fractions.
GCF of 592,220,997 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 47,626,635
Given numbers has no common factors except 1. So, there LCM is their product i.e 18682970
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 47,626,635 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,626,635) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,626,635) x common factors =1 x 1 = 1
LCM(47,626,635) = ( 47 × 626 × 635 ) / 1
LCM(47,626,635) = 18682970 / 1
LCM(47,626,635) = 18682970
Lets's calculate GCF of 592,220,997
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18682970/1
Therefore the LCM of Fractions 47/592,626/220,635/997 is 18682970
Factors of 592
List of positive integer factors of 592 that divides 592 without a remainder.
1,2,4,8,16,37,74,148,296,592
Factors of 220
List of positive integer factors of 220 that divides 220 without a remainder.
1,2,4,5,10,11,20,22,44,55,110,220
Factors of 997
List of positive integer factors of 997 that divides 997 without a remainder.
1,997
Greatest Common Factor
We found the factors 592,220,997 . The biggest common factor number is the GCF number.
So the greatest common factor 592,220,997 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 47/592, 626/220, 635/997?
Answer: LCM of Numerators as per given numbers 47/592, 626/220, 635/997 is
LCM of Numerators i.e. for 47,626,635 is 18682970
GCF of denominators i.e. for 592,220,997 is 1.
Thus, LCM of Fractions is 18682970.Finally, LCM of Fractions for 47/592, 626/220, 635/997 is 18682970.