Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4826/499, 7427/6626 quickly i.e. 35842702 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4826/499, 7427/6626 is 35842702.
LCM(4826/499, 7427/6626) = 35842702
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4826/499,7427/6626
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 4826,7427
Least Common Multiple of Numerators i.e. LCM of 4826,7427 is 35842702.
GCF of Denominators means GCF of 499,6626 as per the given fractions.
GCF of 499,6626 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4826,7427
Given numbers has no common factors except 1. So, there LCM is their product i.e 35842702
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 4826,7427 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4826,7427) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4826,7427) x common factors =1 x 1 = 1
LCM(4826,7427) = ( 4826 × 7427 ) / 1
LCM(4826,7427) = 35842702 / 1
LCM(4826,7427) = 35842702
Lets's calculate GCF of 499,6626
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35842702/1
Therefore the LCM of Fractions 4826/499,7427/6626 is 35842702
Factors of 499
List of positive integer factors of 499 that divides 499 without a remainder.
1,499
Factors of 6626
List of positive integer factors of 6626 that divides 6626 without a remainder.
1,2,3313,6626
Greatest Common Factor
We found the factors 499,6626 . The biggest common factor number is the GCF number.
So the greatest common factor 499,6626 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 4826/499, 7427/6626?
Answer: LCM of Numerators as per given numbers 4826/499, 7427/6626 is
LCM of Numerators i.e. for 4826,7427 is 35842702
GCF of denominators i.e. for 499,6626 is 1.
Thus, LCM of Fractions is 35842702.Finally, LCM of Fractions for 4826/499, 7427/6626 is 35842702.