Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 22/438, 49/618, 241/232 quickly i.e. 129899 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 22/438, 49/618, 241/232 is 129899.
LCM(22/438, 49/618, 241/232) = 129899
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 22/438,49/618,241/232
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 22,49,241
Least Common Multiple of Numerators i.e. LCM of 22,49,241 is 259798.
GCF of Denominators means GCF of 438,618,232 as per the given fractions.
GCF of 438,618,232 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 22,49,241
Given numbers has no common factors except 1. So, there LCM is their product i.e 259798
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 22,49,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,49,241) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(22,49,241) x common factors =1 x 1 = 1
LCM(22,49,241) = ( 22 × 49 × 241 ) / 1
LCM(22,49,241) = 259798 / 1
LCM(22,49,241) = 259798
Lets's calculate GCF of 438,618,232
2 | 438, 618, 232 |
219, 309, 116 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 259798/2
Therefore the LCM of Fractions 22/438,49/618,241/232 is 129899
Factors of 438
List of positive integer factors of 438 that divides 438 without a remainder.
1,2,3,6,73,146,219,438
Factors of 618
List of positive integer factors of 618 that divides 618 without a remainder.
1,2,3,6,103,206,309,618
Factors of 232
List of positive integer factors of 232 that divides 232 without a remainder.
1,2,4,8,29,58,116,232
Greatest Common Factor
We found the factors 438,618,232 . The biggest common factor number is the GCF number.
So the greatest common factor 438,618,232 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 22/438, 49/618, 241/232?
Answer: LCM of Numerators as per given numbers 22/438, 49/618, 241/232 is
LCM of Numerators i.e. for 22,49,241 is 259798
GCF of denominators i.e. for 438,618,232 is 2.
Thus, LCM of Fractions is 129899.Finally, LCM of Fractions for 22/438, 49/618, 241/232 is 129899.