Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 535/31, 726/8647 quickly i.e. 388410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 535/31, 726/8647 is 388410.
LCM(535/31, 726/8647) = 388410
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 535/31,726/8647
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 535,726
Least Common Multiple of Numerators i.e. LCM of 535,726 is 388410.
GCF of Denominators means GCF of 31,8647 as per the given fractions.
GCF of 31,8647 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 535,726
Given numbers has no common factors except 1. So, there LCM is their product i.e 388410
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 535,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(535,726) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(535,726) x common factors =1 x 1 = 1
LCM(535,726) = ( 535 × 726 ) / 1
LCM(535,726) = 388410 / 1
LCM(535,726) = 388410
Lets's calculate GCF of 31,8647
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 388410/1
Therefore the LCM of Fractions 535/31,726/8647 is 388410
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 8647
List of positive integer factors of 8647 that divides 8647 without a remainder.
1,8647
Greatest Common Factor
We found the factors 31,8647 . The biggest common factor number is the GCF number.
So the greatest common factor 31,8647 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 535/31, 726/8647?
Answer: LCM of Numerators as per given numbers 535/31, 726/8647 is
LCM of Numerators i.e. for 535,726 is 388410
GCF of denominators i.e. for 31,8647 is 1.
Thus, LCM of Fractions is 388410.Finally, LCM of Fractions for 535/31, 726/8647 is 388410.