Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 318/950, 774/248 quickly i.e. 20511 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 318/950, 774/248 is 20511.
LCM(318/950, 774/248) = 20511
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 318/950,774/248
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 318,774
Least Common Multiple of Numerators i.e. LCM of 318,774 is 41022.
GCF of Denominators means GCF of 950,248 as per the given fractions.
GCF of 950,248 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 318,774
2 | 318, 774 |
3 | 159, 387 |
53, 129 |
∴ So the LCM of the given numbers is 2 x 3 x 53 x 129 = 41022
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 318,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(318,774) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(318,774) x common factors =6 x 1 = 6
LCM(318,774) = ( 318 × 774 ) / 6
LCM(318,774) = 246132 / 6
LCM(318,774) = 41022
Lets's calculate GCF of 950,248
2 | 950, 248 |
475, 124 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41022/2
Therefore the LCM of Fractions 318/950,774/248 is 20511
Factors of 950
List of positive integer factors of 950 that divides 950 without a remainder.
1,2,5,10,19,25,38,50,95,190,475,950
Factors of 248
List of positive integer factors of 248 that divides 248 without a remainder.
1,2,4,8,31,62,124,248
Greatest Common Factor
We found the factors 950,248 . The biggest common factor number is the GCF number.
So the greatest common factor 950,248 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 318/950, 774/248?
Answer: LCM of Numerators as per given numbers 318/950, 774/248 is
LCM of Numerators i.e. for 318,774 is 41022
GCF of denominators i.e. for 950,248 is 2.
Thus, LCM of Fractions is 20511.Finally, LCM of Fractions for 318/950, 774/248 is 20511.