Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 193/997, 380/208, 521/610 quickly i.e. 38210140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 193/997, 380/208, 521/610 is 38210140.
LCM(193/997, 380/208, 521/610) = 38210140
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 193/997,380/208,521/610
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 193,380,521
Least Common Multiple of Numerators i.e. LCM of 193,380,521 is 38210140.
GCF of Denominators means GCF of 997,208,610 as per the given fractions.
GCF of 997,208,610 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 193,380,521
Given numbers has no common factors except 1. So, there LCM is their product i.e 38210140
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 193,380,521 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(193,380,521) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(193,380,521) x common factors =1 x 1 = 1
LCM(193,380,521) = ( 193 × 380 × 521 ) / 1
LCM(193,380,521) = 38210140 / 1
LCM(193,380,521) = 38210140
Lets's calculate GCF of 997,208,610
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38210140/1
Therefore the LCM of Fractions 193/997,380/208,521/610 is 38210140
Factors of 997
List of positive integer factors of 997 that divides 997 without a remainder.
1,997
Factors of 208
List of positive integer factors of 208 that divides 208 without a remainder.
1,2,4,8,13,16,26,52,104,208
Factors of 610
List of positive integer factors of 610 that divides 610 without a remainder.
1,2,5,10,61,122,305,610
Greatest Common Factor
We found the factors 997,208,610 . The biggest common factor number is the GCF number.
So the greatest common factor 997,208,610 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 193/997, 380/208, 521/610?
Answer: LCM of Numerators as per given numbers 193/997, 380/208, 521/610 is
LCM of Numerators i.e. for 193,380,521 is 38210140
GCF of denominators i.e. for 997,208,610 is 1.
Thus, LCM of Fractions is 38210140.Finally, LCM of Fractions for 193/997, 380/208, 521/610 is 38210140.