Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9/56, 59/309, 22/390 quickly i.e. 11682 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9/56, 59/309, 22/390 is 11682.
LCM(9/56, 59/309, 22/390) = 11682
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9/56,59/309,22/390
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 9,59,22
Least Common Multiple of Numerators i.e. LCM of 9,59,22 is 11682.
GCF of Denominators means GCF of 56,309,390 as per the given fractions.
GCF of 56,309,390 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9,59,22
Given numbers has no common factors except 1. So, there LCM is their product i.e 11682
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 9,59,22 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9,59,22) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9,59,22) x common factors =1 x 1 = 1
LCM(9,59,22) = ( 9 × 59 × 22 ) / 1
LCM(9,59,22) = 11682 / 1
LCM(9,59,22) = 11682
Lets's calculate GCF of 56,309,390
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11682/1
Therefore the LCM of Fractions 9/56,59/309,22/390 is 11682
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 309
List of positive integer factors of 309 that divides 309 without a remainder.
1,3,103,309
Factors of 390
List of positive integer factors of 390 that divides 390 without a remainder.
1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390
Greatest Common Factor
We found the factors 56,309,390 . The biggest common factor number is the GCF number.
So the greatest common factor 56,309,390 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 9/56, 59/309, 22/390?
Answer: LCM of Numerators as per given numbers 9/56, 59/309, 22/390 is
LCM of Numerators i.e. for 9,59,22 is 11682
GCF of denominators i.e. for 56,309,390 is 1.
Thus, LCM of Fractions is 11682.Finally, LCM of Fractions for 9/56, 59/309, 22/390 is 11682.