Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9542/483, 3249/938 quickly i.e. 31001958/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9542/483, 3249/938 is 31001958/7.
LCM(9542/483, 3249/938) = 31001958/7
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9542/483,3249/938
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 9542,3249
Least Common Multiple of Numerators i.e. LCM of 9542,3249 is 31001958.
GCF of Denominators means GCF of 483,938 as per the given fractions.
GCF of 483,938 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9542,3249
Given numbers has no common factors except 1. So, there LCM is their product i.e 31001958
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 9542,3249 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9542,3249) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9542,3249) x common factors =1 x 1 = 1
LCM(9542,3249) = ( 9542 × 3249 ) / 1
LCM(9542,3249) = 31001958 / 1
LCM(9542,3249) = 31001958
Lets's calculate GCF of 483,938
7 | 483, 938 |
69, 134 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31001958/7
Therefore the LCM of Fractions 9542/483,3249/938 is 31001958/7
Factors of 483
List of positive integer factors of 483 that divides 483 without a remainder.
1,3,7,21,23,69,161,483
Factors of 938
List of positive integer factors of 938 that divides 938 without a remainder.
1,2,7,14,67,134,469,938
Greatest Common Factor
We found the factors 483,938 . The biggest common factor number is the GCF number.
So the greatest common factor 483,938 is 7.
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 9542/483, 3249/938?
Answer: LCM of Numerators as per given numbers 9542/483, 3249/938 is
LCM of Numerators i.e. for 9542,3249 is 31001958
GCF of denominators i.e. for 483,938 is 7.
Thus, LCM of Fractions is 31001958/7.Finally, LCM of Fractions for 9542/483, 3249/938 is 31001958/7.