Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 248/34, 615/9548 quickly i.e. 76260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 248/34, 615/9548 is 76260.
LCM(248/34, 615/9548) = 76260
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 248/34,615/9548
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 248,615
Least Common Multiple of Numerators i.e. LCM of 248,615 is 152520.
GCF of Denominators means GCF of 34,9548 as per the given fractions.
GCF of 34,9548 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 248,615
Given numbers has no common factors except 1. So, there LCM is their product i.e 152520
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 248,615 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(248,615) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(248,615) x common factors =1 x 1 = 1
LCM(248,615) = ( 248 × 615 ) / 1
LCM(248,615) = 152520 / 1
LCM(248,615) = 152520
Lets's calculate GCF of 34,9548
2 | 34, 9548 |
17, 4774 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 152520/2
Therefore the LCM of Fractions 248/34,615/9548 is 76260
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 9548
List of positive integer factors of 9548 that divides 9548 without a remainder.
1,2,4,7,11,14,22,28,31,44,62,77,124,154,217,308,341,434,682,868,1364,2387,4774,9548
Greatest Common Factor
We found the factors 34,9548 . The biggest common factor number is the GCF number.
So the greatest common factor 34,9548 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 248/34, 615/9548?
Answer: LCM of Numerators as per given numbers 248/34, 615/9548 is
LCM of Numerators i.e. for 248,615 is 152520
GCF of denominators i.e. for 34,9548 is 2.
Thus, LCM of Fractions is 76260.Finally, LCM of Fractions for 248/34, 615/9548 is 76260.