Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 25/826, 702/806, 596/426 quickly i.e. 2614950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 25/826, 702/806, 596/426 is 2614950.
LCM(25/826, 702/806, 596/426) = 2614950
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 25/826,702/806,596/426
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 25,702,596
Least Common Multiple of Numerators i.e. LCM of 25,702,596 is 5229900.
GCF of Denominators means GCF of 826,806,426 as per the given fractions.
GCF of 826,806,426 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 25,702,596
2 | 25, 702, 596 |
25, 351, 298 |
∴ So the LCM of the given numbers is 2 x 25 x 351 x 298 = 5229900
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 25,702,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,702,596) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(25,702,596) x common factors =1 x 2 = 2
LCM(25,702,596) = ( 25 × 702 × 596 ) / 2
LCM(25,702,596) = 10459800 / 2
LCM(25,702,596) = 5229900
Lets's calculate GCF of 826,806,426
2 | 826, 806, 426 |
413, 403, 213 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5229900/2
Therefore the LCM of Fractions 25/826,702/806,596/426 is 2614950
Factors of 826
List of positive integer factors of 826 that divides 826 without a remainder.
1,2,7,14,59,118,413,826
Factors of 806
List of positive integer factors of 806 that divides 806 without a remainder.
1,2,13,26,31,62,403,806
Factors of 426
List of positive integer factors of 426 that divides 426 without a remainder.
1,2,3,6,71,142,213,426
Greatest Common Factor
We found the factors 826,806,426 . The biggest common factor number is the GCF number.
So the greatest common factor 826,806,426 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 25/826, 702/806, 596/426?
Answer: LCM of Numerators as per given numbers 25/826, 702/806, 596/426 is
LCM of Numerators i.e. for 25,702,596 is 5229900
GCF of denominators i.e. for 826,806,426 is 2.
Thus, LCM of Fractions is 2614950.Finally, LCM of Fractions for 25/826, 702/806, 596/426 is 2614950.