Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 716/60, 974/54, 929/848 quickly i.e. 161967434 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 716/60, 974/54, 929/848 is 161967434.
LCM(716/60, 974/54, 929/848) = 161967434
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 716/60,974/54,929/848
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 716,974,929
Least Common Multiple of Numerators i.e. LCM of 716,974,929 is 323934868.
GCF of Denominators means GCF of 60,54,848 as per the given fractions.
GCF of 60,54,848 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 716,974,929
2 | 716, 974, 929 |
358, 487, 929 |
∴ So the LCM of the given numbers is 2 x 358 x 487 x 929 = 323934868
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 716,974,929 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(716,974,929) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(716,974,929) x common factors =1 x 2 = 2
LCM(716,974,929) = ( 716 × 974 × 929 ) / 2
LCM(716,974,929) = 647869736 / 2
LCM(716,974,929) = 323934868
Lets's calculate GCF of 60,54,848
2 | 60, 54, 848 |
30, 27, 424 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 323934868/2
Therefore the LCM of Fractions 716/60,974/54,929/848 is 161967434
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 848
List of positive integer factors of 848 that divides 848 without a remainder.
1,2,4,8,16,53,106,212,424,848
Greatest Common Factor
We found the factors 60,54,848 . The biggest common factor number is the GCF number.
So the greatest common factor 60,54,848 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 716/60, 974/54, 929/848?
Answer: LCM of Numerators as per given numbers 716/60, 974/54, 929/848 is
LCM of Numerators i.e. for 716,974,929 is 323934868
GCF of denominators i.e. for 60,54,848 is 2.
Thus, LCM of Fractions is 161967434.Finally, LCM of Fractions for 716/60, 974/54, 929/848 is 161967434.