Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 302/13, 741/5600 quickly i.e. 223782 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 302/13, 741/5600 is 223782.
LCM(302/13, 741/5600) = 223782
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 302/13,741/5600
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 302,741
Least Common Multiple of Numerators i.e. LCM of 302,741 is 223782.
GCF of Denominators means GCF of 13,5600 as per the given fractions.
GCF of 13,5600 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 302,741
Given numbers has no common factors except 1. So, there LCM is their product i.e 223782
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 302,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(302,741) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(302,741) x common factors =1 x 1 = 1
LCM(302,741) = ( 302 × 741 ) / 1
LCM(302,741) = 223782 / 1
LCM(302,741) = 223782
Lets's calculate GCF of 13,5600
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 223782/1
Therefore the LCM of Fractions 302/13,741/5600 is 223782
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 5600
List of positive integer factors of 5600 that divides 5600 without a remainder.
1,2,4,5,7,8,10,14,16,20,25,28,32,35,40,50,56,70,80,100,112,140,160,175,200,224,280,350,400,560,700,800,1120,1400,2800,5600
Greatest Common Factor
We found the factors 13,5600 . The biggest common factor number is the GCF number.
So the greatest common factor 13,5600 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 302/13, 741/5600?
Answer: LCM of Numerators as per given numbers 302/13, 741/5600 is
LCM of Numerators i.e. for 302,741 is 223782
GCF of denominators i.e. for 13,5600 is 1.
Thus, LCM of Fractions is 223782.Finally, LCM of Fractions for 302/13, 741/5600 is 223782.