Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/260, 5053/1066 quickly i.e. 10106/26 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/260, 5053/1066 is 10106/26.
LCM(62/260, 5053/1066) = 10106/26
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/260,5053/1066
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 62,5053
Least Common Multiple of Numerators i.e. LCM of 62,5053 is 10106.
GCF of Denominators means GCF of 260,1066 as per the given fractions.
GCF of 260,1066 is 26 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,5053
31 | 62, 5053 |
2, 163 |
∴ So the LCM of the given numbers is 31 x 2 x 163 = 10106
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 62,5053 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,5053) = 31
common factors(in case of two or more numbers have common factors) = 1
GCF(62,5053) x common factors =31 x 1 = 31
LCM(62,5053) = ( 62 × 5053 ) / 31
LCM(62,5053) = 313286 / 31
LCM(62,5053) = 10106
Lets's calculate GCF of 260,1066
2 | 260, 1066 |
13 | 130, 533 |
10, 41 |
∴ So the GCF of the given numbers is 2 x 13 = 26
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10106/26
Therefore the LCM of Fractions 62/260,5053/1066 is 10106/26
Factors of 260
List of positive integer factors of 260 that divides 260 without a remainder.
1,2,4,5,10,13,20,26,52,65,130,260
Factors of 1066
List of positive integer factors of 1066 that divides 1066 without a remainder.
1,2,13,26,41,82,533,1066
Greatest Common Factor
We found the factors 260,1066 . The biggest common factor number is the GCF number.
So the greatest common factor 260,1066 is 26.
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 62/260, 5053/1066?
Answer: LCM of Numerators as per given numbers 62/260, 5053/1066 is
LCM of Numerators i.e. for 62,5053 is 10106
GCF of denominators i.e. for 260,1066 is 26.
Thus, LCM of Fractions is 10106/26.Finally, LCM of Fractions for 62/260, 5053/1066 is 10106/26.