Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 472/948, 8068/474 quickly i.e. 952024/474 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 472/948, 8068/474 is 952024/474.
LCM(472/948, 8068/474) = 952024/474
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 472/948,8068/474
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 472,8068
Least Common Multiple of Numerators i.e. LCM of 472,8068 is 952024.
GCF of Denominators means GCF of 948,474 as per the given fractions.
GCF of 948,474 is 474 as it is the largest common factor for these numbers.
Lets's calculate LCM of 472,8068
2 | 472, 8068 |
2 | 236, 4034 |
118, 2017 |
∴ So the LCM of the given numbers is 2 x 2 x 118 x 2017 = 952024
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 472,8068 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(472,8068) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(472,8068) x common factors =4 x 1 = 4
LCM(472,8068) = ( 472 × 8068 ) / 4
LCM(472,8068) = 3808096 / 4
LCM(472,8068) = 952024
Lets's calculate GCF of 948,474
2 | 948, 474 |
3 | 474, 237 |
79 | 158, 79 |
2, 1 |
∴ So the GCF of the given numbers is 2 x 3 x 79 = 474
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 952024/474
Therefore the LCM of Fractions 472/948,8068/474 is 952024/474
Factors of 948
List of positive integer factors of 948 that divides 948 without a remainder.
1,2,3,4,6,12,79,158,237,316,474,948
Factors of 474
List of positive integer factors of 474 that divides 474 without a remainder.
1,2,3,6,79,158,237,474
Greatest Common Factor
We found the factors 948,474 . The biggest common factor number is the GCF number.
So the greatest common factor 948,474 is 474.
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 472/948, 8068/474?
Answer: LCM of Numerators as per given numbers 472/948, 8068/474 is
LCM of Numerators i.e. for 472,8068 is 952024
GCF of denominators i.e. for 948,474 is 474.
Thus, LCM of Fractions is 952024/474.Finally, LCM of Fractions for 472/948, 8068/474 is 952024/474.