Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5/41, 8/58, 64/14, 12/974 quickly i.e. 960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5/41, 8/58, 64/14, 12/974 is 960.
LCM(5/41, 8/58, 64/14, 12/974) = 960
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5/41,8/58,64/14,12/974
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 5,8,64,12
Least Common Multiple of Numerators i.e. LCM of 5,8,64,12 is 960.
GCF of Denominators means GCF of 41,58,14,974 as per the given fractions.
GCF of 41,58,14,974 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5,8,64,12
2 | 5, 8, 64, 12 |
2 | 5, 4, 32, 6 |
2 | 5, 2, 16, 3 |
5, 1, 8, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 1 x 8 x 3 = 960
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 5,8,64,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5,8,64,12) = 1
common factors(in case of two or more numbers have common factors) = 32
GCF(5,8,64,12) x common factors =1 x 32 = 32
LCM(5,8,64,12) = ( 5 × 8 × 64 × 12 ) / 32
LCM(5,8,64,12) = 30720 / 32
LCM(5,8,64,12) = 960
Lets's calculate GCF of 41,58,14,974
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 960/1
Therefore the LCM of Fractions 5/41,8/58,64/14,12/974 is 960
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 974
List of positive integer factors of 974 that divides 974 without a remainder.
1,2,487,974
Greatest Common Factor
We found the factors 41,58,14,974 . The biggest common factor number is the GCF number.
So the greatest common factor 41,58,14,974 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 5/41, 8/58, 64/14, 12/974?
Answer: LCM of Numerators as per given numbers 5/41, 8/58, 64/14, 12/974 is
LCM of Numerators i.e. for 5,8,64,12 is 960
GCF of denominators i.e. for 41,58,14,974 is 1.
Thus, LCM of Fractions is 960.Finally, LCM of Fractions for 5/41, 8/58, 64/14, 12/974 is 960.