Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5778/751, 2636/8630 quickly i.e. 7615404 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5778/751, 2636/8630 is 7615404.
LCM(5778/751, 2636/8630) = 7615404
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5778/751,2636/8630
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 5778,2636
Least Common Multiple of Numerators i.e. LCM of 5778,2636 is 7615404.
GCF of Denominators means GCF of 751,8630 as per the given fractions.
GCF of 751,8630 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5778,2636
2 | 5778, 2636 |
2889, 1318 |
∴ So the LCM of the given numbers is 2 x 2889 x 1318 = 7615404
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 5778,2636 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5778,2636) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(5778,2636) x common factors =2 x 1 = 2
LCM(5778,2636) = ( 5778 × 2636 ) / 2
LCM(5778,2636) = 15230808 / 2
LCM(5778,2636) = 7615404
Lets's calculate GCF of 751,8630
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7615404/1
Therefore the LCM of Fractions 5778/751,2636/8630 is 7615404
Factors of 751
List of positive integer factors of 751 that divides 751 without a remainder.
1,751
Factors of 8630
List of positive integer factors of 8630 that divides 8630 without a remainder.
1,2,5,10,863,1726,4315,8630
Greatest Common Factor
We found the factors 751,8630 . The biggest common factor number is the GCF number.
So the greatest common factor 751,8630 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 5778/751, 2636/8630?
Answer: LCM of Numerators as per given numbers 5778/751, 2636/8630 is
LCM of Numerators i.e. for 5778,2636 is 7615404
GCF of denominators i.e. for 751,8630 is 1.
Thus, LCM of Fractions is 7615404.Finally, LCM of Fractions for 5778/751, 2636/8630 is 7615404.