Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 38/620, 111/595, 487/832 quickly i.e. 2054166 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 38/620, 111/595, 487/832 is 2054166.
LCM(38/620, 111/595, 487/832) = 2054166
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 38/620,111/595,487/832
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 38,111,487
Least Common Multiple of Numerators i.e. LCM of 38,111,487 is 2054166.
GCF of Denominators means GCF of 620,595,832 as per the given fractions.
GCF of 620,595,832 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 38,111,487
Given numbers has no common factors except 1. So, there LCM is their product i.e 2054166
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 38,111,487 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,111,487) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(38,111,487) x common factors =1 x 1 = 1
LCM(38,111,487) = ( 38 × 111 × 487 ) / 1
LCM(38,111,487) = 2054166 / 1
LCM(38,111,487) = 2054166
Lets's calculate GCF of 620,595,832
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2054166/1
Therefore the LCM of Fractions 38/620,111/595,487/832 is 2054166
Factors of 620
List of positive integer factors of 620 that divides 620 without a remainder.
1,2,4,5,10,20,31,62,124,155,310,620
Factors of 595
List of positive integer factors of 595 that divides 595 without a remainder.
1,5,7,17,35,85,119,595
Factors of 832
List of positive integer factors of 832 that divides 832 without a remainder.
1,2,4,8,13,16,26,32,52,64,104,208,416,832
Greatest Common Factor
We found the factors 620,595,832 . The biggest common factor number is the GCF number.
So the greatest common factor 620,595,832 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 38/620, 111/595, 487/832?
Answer: LCM of Numerators as per given numbers 38/620, 111/595, 487/832 is
LCM of Numerators i.e. for 38,111,487 is 2054166
GCF of denominators i.e. for 620,595,832 is 1.
Thus, LCM of Fractions is 2054166.Finally, LCM of Fractions for 38/620, 111/595, 487/832 is 2054166.