Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 202/28, 581/2614 quickly i.e. 58681 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 202/28, 581/2614 is 58681.
LCM(202/28, 581/2614) = 58681
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 202/28,581/2614
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 202,581
Least Common Multiple of Numerators i.e. LCM of 202,581 is 117362.
GCF of Denominators means GCF of 28,2614 as per the given fractions.
GCF of 28,2614 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 202,581
Given numbers has no common factors except 1. So, there LCM is their product i.e 117362
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 202,581 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(202,581) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(202,581) x common factors =1 x 1 = 1
LCM(202,581) = ( 202 × 581 ) / 1
LCM(202,581) = 117362 / 1
LCM(202,581) = 117362
Lets's calculate GCF of 28,2614
2 | 28, 2614 |
14, 1307 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 117362/2
Therefore the LCM of Fractions 202/28,581/2614 is 58681
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 2614
List of positive integer factors of 2614 that divides 2614 without a remainder.
1,2,1307,2614
Greatest Common Factor
We found the factors 28,2614 . The biggest common factor number is the GCF number.
So the greatest common factor 28,2614 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 202/28, 581/2614?
Answer: LCM of Numerators as per given numbers 202/28, 581/2614 is
LCM of Numerators i.e. for 202,581 is 117362
GCF of denominators i.e. for 28,2614 is 2.
Thus, LCM of Fractions is 58681.Finally, LCM of Fractions for 202/28, 581/2614 is 58681.