Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3333/716, 6520/8252 quickly i.e. 5432790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3333/716, 6520/8252 is 5432790.
LCM(3333/716, 6520/8252) = 5432790
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3333/716,6520/8252
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 3333,6520
Least Common Multiple of Numerators i.e. LCM of 3333,6520 is 21731160.
GCF of Denominators means GCF of 716,8252 as per the given fractions.
GCF of 716,8252 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3333,6520
Given numbers has no common factors except 1. So, there LCM is their product i.e 21731160
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 3333,6520 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3333,6520) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3333,6520) x common factors =1 x 1 = 1
LCM(3333,6520) = ( 3333 × 6520 ) / 1
LCM(3333,6520) = 21731160 / 1
LCM(3333,6520) = 21731160
Lets's calculate GCF of 716,8252
2 | 716, 8252 |
2 | 358, 4126 |
179, 2063 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21731160/4
Therefore the LCM of Fractions 3333/716,6520/8252 is 5432790
Factors of 716
List of positive integer factors of 716 that divides 716 without a remainder.
1,2,4,179,358,716
Factors of 8252
List of positive integer factors of 8252 that divides 8252 without a remainder.
1,2,4,2063,4126,8252
Greatest Common Factor
We found the factors 716,8252 . The biggest common factor number is the GCF number.
So the greatest common factor 716,8252 is 4.
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 3333/716, 6520/8252?
Answer: LCM of Numerators as per given numbers 3333/716, 6520/8252 is
LCM of Numerators i.e. for 3333,6520 is 21731160
GCF of denominators i.e. for 716,8252 is 4.
Thus, LCM of Fractions is 5432790.Finally, LCM of Fractions for 3333/716, 6520/8252 is 5432790.