Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/26, 52/98, 31/33, 13/621 quickly i.e. 1612 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/26, 52/98, 31/33, 13/621 is 1612.
LCM(62/26, 52/98, 31/33, 13/621) = 1612
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/26,52/98,31/33,13/621
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 62,52,31,13
Least Common Multiple of Numerators i.e. LCM of 62,52,31,13 is 1612.
GCF of Denominators means GCF of 26,98,33,621 as per the given fractions.
GCF of 26,98,33,621 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,52,31,13
2 | 62, 52, 31, 13 |
13 | 31, 26, 31, 13 |
31 | 31, 2, 31, 1 |
1, 2, 1, 1 |
∴ So the LCM of the given numbers is 2 x 13 x 31 x 1 x 2 x 1 x 1 = 1612
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 62,52,31,13 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,52,31,13) = 1
common factors(in case of two or more numbers have common factors) = 806
GCF(62,52,31,13) x common factors =1 x 806 = 806
LCM(62,52,31,13) = ( 62 × 52 × 31 × 13 ) / 806
LCM(62,52,31,13) = 1299272 / 806
LCM(62,52,31,13) = 1612
Lets's calculate GCF of 26,98,33,621
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1612/1
Therefore the LCM of Fractions 62/26,52/98,31/33,13/621 is 1612
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 621
List of positive integer factors of 621 that divides 621 without a remainder.
1,3,9,23,27,69,207,621
Greatest Common Factor
We found the factors 26,98,33,621 . The biggest common factor number is the GCF number.
So the greatest common factor 26,98,33,621 is 1.
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 62/26, 52/98, 31/33, 13/621?
Answer: LCM of Numerators as per given numbers 62/26, 52/98, 31/33, 13/621 is
LCM of Numerators i.e. for 62,52,31,13 is 1612
GCF of denominators i.e. for 26,98,33,621 is 1.
Thus, LCM of Fractions is 1612.Finally, LCM of Fractions for 62/26, 52/98, 31/33, 13/621 is 1612.