Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9/122, 68/350, 47/486 quickly i.e. 14382 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9/122, 68/350, 47/486 is 14382.
LCM(9/122, 68/350, 47/486) = 14382
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9/122,68/350,47/486
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 9,68,47
Least Common Multiple of Numerators i.e. LCM of 9,68,47 is 28764.
GCF of Denominators means GCF of 122,350,486 as per the given fractions.
GCF of 122,350,486 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9,68,47
Given numbers has no common factors except 1. So, there LCM is their product i.e 28764
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 9,68,47 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9,68,47) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9,68,47) x common factors =1 x 1 = 1
LCM(9,68,47) = ( 9 × 68 × 47 ) / 1
LCM(9,68,47) = 28764 / 1
LCM(9,68,47) = 28764
Lets's calculate GCF of 122,350,486
2 | 122, 350, 486 |
61, 175, 243 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28764/2
Therefore the LCM of Fractions 9/122,68/350,47/486 is 14382
Factors of 122
List of positive integer factors of 122 that divides 122 without a remainder.
1,2,61,122
Factors of 350
List of positive integer factors of 350 that divides 350 without a remainder.
1,2,5,7,10,14,25,35,50,70,175,350
Factors of 486
List of positive integer factors of 486 that divides 486 without a remainder.
1,2,3,6,9,18,27,54,81,162,243,486
Greatest Common Factor
We found the factors 122,350,486 . The biggest common factor number is the GCF number.
So the greatest common factor 122,350,486 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 9/122, 68/350, 47/486?
Answer: LCM of Numerators as per given numbers 9/122, 68/350, 47/486 is
LCM of Numerators i.e. for 9,68,47 is 28764
GCF of denominators i.e. for 122,350,486 is 2.
Thus, LCM of Fractions is 14382.Finally, LCM of Fractions for 9/122, 68/350, 47/486 is 14382.