Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7946/138, 1233/837 quickly i.e. 23838 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7946/138, 1233/837 is 23838.
LCM(7946/138, 1233/837) = 23838
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7946/138,1233/837
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 7946,1233
Least Common Multiple of Numerators i.e. LCM of 7946,1233 is 71514.
GCF of Denominators means GCF of 138,837 as per the given fractions.
GCF of 138,837 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7946,1233
137 | 7946, 1233 |
58, 9 |
∴ So the LCM of the given numbers is 137 x 58 x 9 = 71514
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 7946,1233 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7946,1233) = 137
common factors(in case of two or more numbers have common factors) = 1
GCF(7946,1233) x common factors =137 x 1 = 137
LCM(7946,1233) = ( 7946 × 1233 ) / 137
LCM(7946,1233) = 9797418 / 137
LCM(7946,1233) = 71514
Lets's calculate GCF of 138,837
3 | 138, 837 |
46, 279 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71514/3
Therefore the LCM of Fractions 7946/138,1233/837 is 23838
Factors of 138
List of positive integer factors of 138 that divides 138 without a remainder.
1,2,3,6,23,46,69,138
Factors of 837
List of positive integer factors of 837 that divides 837 without a remainder.
1,3,9,27,31,93,279,837
Greatest Common Factor
We found the factors 138,837 . The biggest common factor number is the GCF number.
So the greatest common factor 138,837 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 7946/138, 1233/837?
Answer: LCM of Numerators as per given numbers 7946/138, 1233/837 is
LCM of Numerators i.e. for 7946,1233 is 71514
GCF of denominators i.e. for 138,837 is 3.
Thus, LCM of Fractions is 23838.Finally, LCM of Fractions for 7946/138, 1233/837 is 23838.