Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 38/262, 985/24, 625/433 quickly i.e. 4678750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 38/262, 985/24, 625/433 is 4678750.
LCM(38/262, 985/24, 625/433) = 4678750
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 38/262,985/24,625/433
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 38,985,625
Least Common Multiple of Numerators i.e. LCM of 38,985,625 is 4678750.
GCF of Denominators means GCF of 262,24,433 as per the given fractions.
GCF of 262,24,433 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 38,985,625
5 | 38, 985, 625 |
38, 197, 125 |
∴ So the LCM of the given numbers is 5 x 38 x 197 x 125 = 4678750
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 38,985,625 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,985,625) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(38,985,625) x common factors =1 x 5 = 5
LCM(38,985,625) = ( 38 × 985 × 625 ) / 5
LCM(38,985,625) = 23393750 / 5
LCM(38,985,625) = 4678750
Lets's calculate GCF of 262,24,433
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4678750/1
Therefore the LCM of Fractions 38/262,985/24,625/433 is 4678750
Factors of 262
List of positive integer factors of 262 that divides 262 without a remainder.
1,2,131,262
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 433
List of positive integer factors of 433 that divides 433 without a remainder.
1,433
Greatest Common Factor
We found the factors 262,24,433 . The biggest common factor number is the GCF number.
So the greatest common factor 262,24,433 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 38/262, 985/24, 625/433?
Answer: LCM of Numerators as per given numbers 38/262, 985/24, 625/433 is
LCM of Numerators i.e. for 38,985,625 is 4678750
GCF of denominators i.e. for 262,24,433 is 1.
Thus, LCM of Fractions is 4678750.Finally, LCM of Fractions for 38/262, 985/24, 625/433 is 4678750.