Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 201/939, 9671/9351 quickly i.e. 647957 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 201/939, 9671/9351 is 647957.
LCM(201/939, 9671/9351) = 647957
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 201/939,9671/9351
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 201,9671
Least Common Multiple of Numerators i.e. LCM of 201,9671 is 1943871.
GCF of Denominators means GCF of 939,9351 as per the given fractions.
GCF of 939,9351 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 201,9671
Given numbers has no common factors except 1. So, there LCM is their product i.e 1943871
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 201,9671 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(201,9671) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(201,9671) x common factors =1 x 1 = 1
LCM(201,9671) = ( 201 × 9671 ) / 1
LCM(201,9671) = 1943871 / 1
LCM(201,9671) = 1943871
Lets's calculate GCF of 939,9351
3 | 939, 9351 |
313, 3117 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1943871/3
Therefore the LCM of Fractions 201/939,9671/9351 is 647957
Factors of 939
List of positive integer factors of 939 that divides 939 without a remainder.
1,3,313,939
Factors of 9351
List of positive integer factors of 9351 that divides 9351 without a remainder.
1,3,9,1039,3117,9351
Greatest Common Factor
We found the factors 939,9351 . The biggest common factor number is the GCF number.
So the greatest common factor 939,9351 is 3.
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 201/939, 9671/9351?
Answer: LCM of Numerators as per given numbers 201/939, 9671/9351 is
LCM of Numerators i.e. for 201,9671 is 1943871
GCF of denominators i.e. for 939,9351 is 3.
Thus, LCM of Fractions is 647957.Finally, LCM of Fractions for 201/939, 9671/9351 is 647957.