Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 12/790, 5878/4914 quickly i.e. 17634 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 12/790, 5878/4914 is 17634.
LCM(12/790, 5878/4914) = 17634
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 12/790,5878/4914
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 12,5878
Least Common Multiple of Numerators i.e. LCM of 12,5878 is 35268.
GCF of Denominators means GCF of 790,4914 as per the given fractions.
GCF of 790,4914 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 12,5878
2 | 12, 5878 |
6, 2939 |
∴ So the LCM of the given numbers is 2 x 6 x 2939 = 35268
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 12,5878 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,5878) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(12,5878) x common factors =2 x 1 = 2
LCM(12,5878) = ( 12 × 5878 ) / 2
LCM(12,5878) = 70536 / 2
LCM(12,5878) = 35268
Lets's calculate GCF of 790,4914
2 | 790, 4914 |
395, 2457 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35268/2
Therefore the LCM of Fractions 12/790,5878/4914 is 17634
Factors of 790
List of positive integer factors of 790 that divides 790 without a remainder.
1,2,5,10,79,158,395,790
Factors of 4914
List of positive integer factors of 4914 that divides 4914 without a remainder.
1,2,3,6,7,9,13,14,18,21,26,27,39,42,54,63,78,91,117,126,182,189,234,273,351,378,546,702,819,1638,2457,4914
Greatest Common Factor
We found the factors 790,4914 . The biggest common factor number is the GCF number.
So the greatest common factor 790,4914 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 12/790, 5878/4914?
Answer: LCM of Numerators as per given numbers 12/790, 5878/4914 is
LCM of Numerators i.e. for 12,5878 is 35268
GCF of denominators i.e. for 790,4914 is 2.
Thus, LCM of Fractions is 17634.Finally, LCM of Fractions for 12/790, 5878/4914 is 17634.