Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 785/26, 6316/360 quickly i.e. 2479030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 785/26, 6316/360 is 2479030.
LCM(785/26, 6316/360) = 2479030
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 785/26,6316/360
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 785,6316
Least Common Multiple of Numerators i.e. LCM of 785,6316 is 4958060.
GCF of Denominators means GCF of 26,360 as per the given fractions.
GCF of 26,360 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 785,6316
Given numbers has no common factors except 1. So, there LCM is their product i.e 4958060
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 785,6316 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(785,6316) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(785,6316) x common factors =1 x 1 = 1
LCM(785,6316) = ( 785 × 6316 ) / 1
LCM(785,6316) = 4958060 / 1
LCM(785,6316) = 4958060
Lets's calculate GCF of 26,360
2 | 26, 360 |
13, 180 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4958060/2
Therefore the LCM of Fractions 785/26,6316/360 is 2479030
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 360
List of positive integer factors of 360 that divides 360 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360
Greatest Common Factor
We found the factors 26,360 . The biggest common factor number is the GCF number.
So the greatest common factor 26,360 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 785/26, 6316/360?
Answer: LCM of Numerators as per given numbers 785/26, 6316/360 is
LCM of Numerators i.e. for 785,6316 is 4958060
GCF of denominators i.e. for 26,360 is 2.
Thus, LCM of Fractions is 2479030.Finally, LCM of Fractions for 785/26, 6316/360 is 2479030.