Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9/218, 99/926, 43/390 quickly i.e. 4257/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9/218, 99/926, 43/390 is 4257/2.
LCM(9/218, 99/926, 43/390) = 4257/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9/218,99/926,43/390
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 9,99,43
Least Common Multiple of Numerators i.e. LCM of 9,99,43 is 4257.
GCF of Denominators means GCF of 218,926,390 as per the given fractions.
GCF of 218,926,390 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9,99,43
3 | 9, 99, 43 |
3 | 3, 33, 43 |
1, 11, 43 |
∴ So the LCM of the given numbers is 3 x 3 x 1 x 11 x 43 = 4257
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 9,99,43 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9,99,43) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(9,99,43) x common factors =1 x 9 = 9
LCM(9,99,43) = ( 9 × 99 × 43 ) / 9
LCM(9,99,43) = 38313 / 9
LCM(9,99,43) = 4257
Lets's calculate GCF of 218,926,390
2 | 218, 926, 390 |
109, 463, 195 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4257/2
Therefore the LCM of Fractions 9/218,99/926,43/390 is 4257/2
Factors of 218
List of positive integer factors of 218 that divides 218 without a remainder.
1,2,109,218
Factors of 926
List of positive integer factors of 926 that divides 926 without a remainder.
1,2,463,926
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 218,926,390 . The biggest common factor number is the GCF number.
So the greatest common factor 218,926,390 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 9/218, 99/926, 43/390?
Answer: LCM of Numerators as per given numbers 9/218, 99/926, 43/390 is
LCM of Numerators i.e. for 9,99,43 is 4257
GCF of denominators i.e. for 218,926,390 is 2.
Thus, LCM of Fractions is 4257/2.Finally, LCM of Fractions for 9/218, 99/926, 43/390 is 4257/2.