Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9914/551, 4837/232 quickly i.e. 47954018/29 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9914/551, 4837/232 is 47954018/29.
LCM(9914/551, 4837/232) = 47954018/29
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9914/551,4837/232
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 9914,4837
Least Common Multiple of Numerators i.e. LCM of 9914,4837 is 47954018.
GCF of Denominators means GCF of 551,232 as per the given fractions.
GCF of 551,232 is 29 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9914,4837
Given numbers has no common factors except 1. So, there LCM is their product i.e 47954018
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 9914,4837 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9914,4837) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9914,4837) x common factors =1 x 1 = 1
LCM(9914,4837) = ( 9914 × 4837 ) / 1
LCM(9914,4837) = 47954018 / 1
LCM(9914,4837) = 47954018
Lets's calculate GCF of 551,232
29 | 551, 232 |
19, 8 |
∴ So the GCF of the given numbers is 29 = 29
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47954018/29
Therefore the LCM of Fractions 9914/551,4837/232 is 47954018/29
Factors of 551
List of positive integer factors of 551 that divides 551 without a remainder.
1,19,29,551
Factors of 232
List of positive integer factors of 232 that divides 232 without a remainder.
1,2,4,8,29,58,116,232
Greatest Common Factor
We found the factors 551,232 . The biggest common factor number is the GCF number.
So the greatest common factor 551,232 is 29.
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 9914/551, 4837/232?
Answer: LCM of Numerators as per given numbers 9914/551, 4837/232 is
LCM of Numerators i.e. for 9914,4837 is 47954018
GCF of denominators i.e. for 551,232 is 29.
Thus, LCM of Fractions is 47954018/29.Finally, LCM of Fractions for 9914/551, 4837/232 is 47954018/29.