Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2624/356, 3195/5795 quickly i.e. 8383680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2624/356, 3195/5795 is 8383680.
LCM(2624/356, 3195/5795) = 8383680
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2624/356,3195/5795
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 2624,3195
Least Common Multiple of Numerators i.e. LCM of 2624,3195 is 8383680.
GCF of Denominators means GCF of 356,5795 as per the given fractions.
GCF of 356,5795 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2624,3195
Given numbers has no common factors except 1. So, there LCM is their product i.e 8383680
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 2624,3195 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2624,3195) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2624,3195) x common factors =1 x 1 = 1
LCM(2624,3195) = ( 2624 × 3195 ) / 1
LCM(2624,3195) = 8383680 / 1
LCM(2624,3195) = 8383680
Lets's calculate GCF of 356,5795
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8383680/1
Therefore the LCM of Fractions 2624/356,3195/5795 is 8383680
Factors of 356
List of positive integer factors of 356 that divides 356 without a remainder.
1,2,4,89,178,356
Factors of 5795
List of positive integer factors of 5795 that divides 5795 without a remainder.
1,5,19,61,95,305,1159,5795
Greatest Common Factor
We found the factors 356,5795 . The biggest common factor number is the GCF number.
So the greatest common factor 356,5795 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 2624/356, 3195/5795?
Answer: LCM of Numerators as per given numbers 2624/356, 3195/5795 is
LCM of Numerators i.e. for 2624,3195 is 8383680
GCF of denominators i.e. for 356,5795 is 1.
Thus, LCM of Fractions is 8383680.Finally, LCM of Fractions for 2624/356, 3195/5795 is 8383680.