Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 948/326, 3656/815 quickly i.e. 866472/163 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 948/326, 3656/815 is 866472/163.
LCM(948/326, 3656/815) = 866472/163
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 948/326,3656/815
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 948,3656
Least Common Multiple of Numerators i.e. LCM of 948,3656 is 866472.
GCF of Denominators means GCF of 326,815 as per the given fractions.
GCF of 326,815 is 163 as it is the largest common factor for these numbers.
Lets's calculate LCM of 948,3656
2 | 948, 3656 |
2 | 474, 1828 |
237, 914 |
∴ So the LCM of the given numbers is 2 x 2 x 237 x 914 = 866472
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 948,3656 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(948,3656) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(948,3656) x common factors =4 x 1 = 4
LCM(948,3656) = ( 948 × 3656 ) / 4
LCM(948,3656) = 3465888 / 4
LCM(948,3656) = 866472
Lets's calculate GCF of 326,815
163 | 326, 815 |
2, 5 |
∴ So the GCF of the given numbers is 163 = 163
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 866472/163
Therefore the LCM of Fractions 948/326,3656/815 is 866472/163
Factors of 326
List of positive integer factors of 326 that divides 326 without a remainder.
1,2,163,326
Factors of 815
List of positive integer factors of 815 that divides 815 without a remainder.
1,5,163,815
Greatest Common Factor
We found the factors 326,815 . The biggest common factor number is the GCF number.
So the greatest common factor 326,815 is 163.
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 948/326, 3656/815?
Answer: LCM of Numerators as per given numbers 948/326, 3656/815 is
LCM of Numerators i.e. for 948,3656 is 866472
GCF of denominators i.e. for 326,815 is 163.
Thus, LCM of Fractions is 866472/163.Finally, LCM of Fractions for 948/326, 3656/815 is 866472/163.