Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 34/40, 25/83, 44/66, 56/249 quickly i.e. 261800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 34/40, 25/83, 44/66, 56/249 is 261800.
LCM(34/40, 25/83, 44/66, 56/249) = 261800
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 34/40,25/83,44/66,56/249
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 34,25,44,56
Least Common Multiple of Numerators i.e. LCM of 34,25,44,56 is 261800.
GCF of Denominators means GCF of 40,83,66,249 as per the given fractions.
GCF of 40,83,66,249 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 34,25,44,56
2 | 34, 25, 44, 56 |
2 | 17, 25, 22, 28 |
17, 25, 11, 14 |
∴ So the LCM of the given numbers is 2 x 2 x 17 x 25 x 11 x 14 = 261800
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 34,25,44,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,25,44,56) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(34,25,44,56) x common factors =1 x 8 = 8
LCM(34,25,44,56) = ( 34 × 25 × 44 × 56 ) / 8
LCM(34,25,44,56) = 2094400 / 8
LCM(34,25,44,56) = 261800
Lets's calculate GCF of 40,83,66,249
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 261800/1
Therefore the LCM of Fractions 34/40,25/83,44/66,56/249 is 261800
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 249
List of positive integer factors of 249 that divides 249 without a remainder.
1,3,83,249
Greatest Common Factor
We found the factors 40,83,66,249 . The biggest common factor number is the GCF number.
So the greatest common factor 40,83,66,249 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 34/40, 25/83, 44/66, 56/249?
Answer: LCM of Numerators as per given numbers 34/40, 25/83, 44/66, 56/249 is
LCM of Numerators i.e. for 34,25,44,56 is 261800
GCF of denominators i.e. for 40,83,66,249 is 1.
Thus, LCM of Fractions is 261800.Finally, LCM of Fractions for 34/40, 25/83, 44/66, 56/249 is 261800.