Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 426/306, 795/585 quickly i.e. 112890/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 426/306, 795/585 is 112890/9.
LCM(426/306, 795/585) = 112890/9
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 426/306,795/585
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 426,795
Least Common Multiple of Numerators i.e. LCM of 426,795 is 112890.
GCF of Denominators means GCF of 306,585 as per the given fractions.
GCF of 306,585 is 9 as it is the largest common factor for these numbers.
Lets's calculate LCM of 426,795
3 | 426, 795 |
142, 265 |
∴ So the LCM of the given numbers is 3 x 142 x 265 = 112890
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 426,795 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(426,795) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(426,795) x common factors =3 x 1 = 3
LCM(426,795) = ( 426 × 795 ) / 3
LCM(426,795) = 338670 / 3
LCM(426,795) = 112890
Lets's calculate GCF of 306,585
3 | 306, 585 |
3 | 102, 195 |
34, 65 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112890/9
Therefore the LCM of Fractions 426/306,795/585 is 112890/9
Factors of 306
List of positive integer factors of 306 that divides 306 without a remainder.
1,2,3,6,9,17,18,34,51,102,153,306
Factors of 585
List of positive integer factors of 585 that divides 585 without a remainder.
1,3,5,9,13,15,39,45,65,117,195,585
Greatest Common Factor
We found the factors 306,585 . The biggest common factor number is the GCF number.
So the greatest common factor 306,585 is 9.
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 426/306, 795/585?
Answer: LCM of Numerators as per given numbers 426/306, 795/585 is
LCM of Numerators i.e. for 426,795 is 112890
GCF of denominators i.e. for 306,585 is 9.
Thus, LCM of Fractions is 112890/9.Finally, LCM of Fractions for 426/306, 795/585 is 112890/9.