Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 12/102, 9459/7796 quickly i.e. 18918 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 12/102, 9459/7796 is 18918.
LCM(12/102, 9459/7796) = 18918
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 12/102,9459/7796
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 12,9459
Least Common Multiple of Numerators i.e. LCM of 12,9459 is 37836.
GCF of Denominators means GCF of 102,7796 as per the given fractions.
GCF of 102,7796 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 12,9459
3 | 12, 9459 |
4, 3153 |
∴ So the LCM of the given numbers is 3 x 4 x 3153 = 37836
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 12,9459 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,9459) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(12,9459) x common factors =3 x 1 = 3
LCM(12,9459) = ( 12 × 9459 ) / 3
LCM(12,9459) = 113508 / 3
LCM(12,9459) = 37836
Lets's calculate GCF of 102,7796
2 | 102, 7796 |
51, 3898 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37836/2
Therefore the LCM of Fractions 12/102,9459/7796 is 18918
Factors of 102
List of positive integer factors of 102 that divides 102 without a remainder.
1,2,3,6,17,34,51,102
Factors of 7796
List of positive integer factors of 7796 that divides 7796 without a remainder.
1,2,4,1949,3898,7796
Greatest Common Factor
We found the factors 102,7796 . The biggest common factor number is the GCF number.
So the greatest common factor 102,7796 is 2.
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 12/102, 9459/7796?
Answer: LCM of Numerators as per given numbers 12/102, 9459/7796 is
LCM of Numerators i.e. for 12,9459 is 37836
GCF of denominators i.e. for 102,7796 is 2.
Thus, LCM of Fractions is 18918.Finally, LCM of Fractions for 12/102, 9459/7796 is 18918.