Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9914/51, 1245/830 quickly i.e. 12342930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9914/51, 1245/830 is 12342930.
LCM(9914/51, 1245/830) = 12342930
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9914/51,1245/830
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 9914,1245
Least Common Multiple of Numerators i.e. LCM of 9914,1245 is 12342930.
GCF of Denominators means GCF of 51,830 as per the given fractions.
GCF of 51,830 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9914,1245
Given numbers has no common factors except 1. So, there LCM is their product i.e 12342930
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 9914,1245 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9914,1245) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9914,1245) x common factors =1 x 1 = 1
LCM(9914,1245) = ( 9914 × 1245 ) / 1
LCM(9914,1245) = 12342930 / 1
LCM(9914,1245) = 12342930
Lets's calculate GCF of 51,830
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12342930/1
Therefore the LCM of Fractions 9914/51,1245/830 is 12342930
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 830
List of positive integer factors of 830 that divides 830 without a remainder.
1,2,5,10,83,166,415,830
Greatest Common Factor
We found the factors 51,830 . The biggest common factor number is the GCF number.
So the greatest common factor 51,830 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 9914/51, 1245/830?
Answer: LCM of Numerators as per given numbers 9914/51, 1245/830 is
LCM of Numerators i.e. for 9914,1245 is 12342930
GCF of denominators i.e. for 51,830 is 1.
Thus, LCM of Fractions is 12342930.Finally, LCM of Fractions for 9914/51, 1245/830 is 12342930.