Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 66/22, 23/24, 241/782 quickly i.e. 182919 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 66/22, 23/24, 241/782 is 182919.
LCM(66/22, 23/24, 241/782) = 182919
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 66/22,23/24,241/782
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 66,23,241
Least Common Multiple of Numerators i.e. LCM of 66,23,241 is 365838.
GCF of Denominators means GCF of 22,24,782 as per the given fractions.
GCF of 22,24,782 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 66,23,241
Given numbers has no common factors except 1. So, there LCM is their product i.e 365838
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 66,23,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,23,241) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(66,23,241) x common factors =1 x 1 = 1
LCM(66,23,241) = ( 66 × 23 × 241 ) / 1
LCM(66,23,241) = 365838 / 1
LCM(66,23,241) = 365838
Lets's calculate GCF of 22,24,782
2 | 22, 24, 782 |
11, 12, 391 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 365838/2
Therefore the LCM of Fractions 66/22,23/24,241/782 is 182919
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 782
List of positive integer factors of 782 that divides 782 without a remainder.
1,2,17,23,34,46,391,782
Greatest Common Factor
We found the factors 22,24,782 . The biggest common factor number is the GCF number.
So the greatest common factor 22,24,782 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 66/22, 23/24, 241/782?
Answer: LCM of Numerators as per given numbers 66/22, 23/24, 241/782 is
LCM of Numerators i.e. for 66,23,241 is 365838
GCF of denominators i.e. for 22,24,782 is 2.
Thus, LCM of Fractions is 182919.Finally, LCM of Fractions for 66/22, 23/24, 241/782 is 182919.