Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 396/391, 723/636, 589/278 quickly i.e. 56211804 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 396/391, 723/636, 589/278 is 56211804.
LCM(396/391, 723/636, 589/278) = 56211804
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 396/391,723/636,589/278
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 396,723,589
Least Common Multiple of Numerators i.e. LCM of 396,723,589 is 56211804.
GCF of Denominators means GCF of 391,636,278 as per the given fractions.
GCF of 391,636,278 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 396,723,589
3 | 396, 723, 589 |
132, 241, 589 |
∴ So the LCM of the given numbers is 3 x 132 x 241 x 589 = 56211804
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 396,723,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(396,723,589) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(396,723,589) x common factors =1 x 3 = 3
LCM(396,723,589) = ( 396 × 723 × 589 ) / 3
LCM(396,723,589) = 168635412 / 3
LCM(396,723,589) = 56211804
Lets's calculate GCF of 391,636,278
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56211804/1
Therefore the LCM of Fractions 396/391,723/636,589/278 is 56211804
Factors of 391
List of positive integer factors of 391 that divides 391 without a remainder.
1,17,23,391
Factors of 636
List of positive integer factors of 636 that divides 636 without a remainder.
1,2,3,4,6,12,53,106,159,212,318,636
Factors of 278
List of positive integer factors of 278 that divides 278 without a remainder.
1,2,139,278
Greatest Common Factor
We found the factors 391,636,278 . The biggest common factor number is the GCF number.
So the greatest common factor 391,636,278 is 1.
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 396/391, 723/636, 589/278?
Answer: LCM of Numerators as per given numbers 396/391, 723/636, 589/278 is
LCM of Numerators i.e. for 396,723,589 is 56211804
GCF of denominators i.e. for 391,636,278 is 1.
Thus, LCM of Fractions is 56211804.Finally, LCM of Fractions for 396/391, 723/636, 589/278 is 56211804.