Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 260/548, 5885/5136 quickly i.e. 76505 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 260/548, 5885/5136 is 76505.
LCM(260/548, 5885/5136) = 76505
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 260/548,5885/5136
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 260,5885
Least Common Multiple of Numerators i.e. LCM of 260,5885 is 306020.
GCF of Denominators means GCF of 548,5136 as per the given fractions.
GCF of 548,5136 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 260,5885
5 | 260, 5885 |
52, 1177 |
∴ So the LCM of the given numbers is 5 x 52 x 1177 = 306020
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 260,5885 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(260,5885) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(260,5885) x common factors =5 x 1 = 5
LCM(260,5885) = ( 260 × 5885 ) / 5
LCM(260,5885) = 1530100 / 5
LCM(260,5885) = 306020
Lets's calculate GCF of 548,5136
2 | 548, 5136 |
2 | 274, 2568 |
137, 1284 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 306020/4
Therefore the LCM of Fractions 260/548,5885/5136 is 76505
Factors of 548
List of positive integer factors of 548 that divides 548 without a remainder.
1,2,4,137,274,548
Factors of 5136
List of positive integer factors of 5136 that divides 5136 without a remainder.
1,2,3,4,6,8,12,16,24,48,107,214,321,428,642,856,1284,1712,2568,5136
Greatest Common Factor
We found the factors 548,5136 . The biggest common factor number is the GCF number.
So the greatest common factor 548,5136 is 4.
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 260/548, 5885/5136?
Answer: LCM of Numerators as per given numbers 260/548, 5885/5136 is
LCM of Numerators i.e. for 260,5885 is 306020
GCF of denominators i.e. for 548,5136 is 4.
Thus, LCM of Fractions is 76505.Finally, LCM of Fractions for 260/548, 5885/5136 is 76505.