Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6621/64, 7272/676 quickly i.e. 4012326 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6621/64, 7272/676 is 4012326.
LCM(6621/64, 7272/676) = 4012326
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6621/64,7272/676
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 6621,7272
Least Common Multiple of Numerators i.e. LCM of 6621,7272 is 16049304.
GCF of Denominators means GCF of 64,676 as per the given fractions.
GCF of 64,676 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6621,7272
3 | 6621, 7272 |
2207, 2424 |
∴ So the LCM of the given numbers is 3 x 2207 x 2424 = 16049304
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 6621,7272 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6621,7272) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(6621,7272) x common factors =3 x 1 = 3
LCM(6621,7272) = ( 6621 × 7272 ) / 3
LCM(6621,7272) = 48147912 / 3
LCM(6621,7272) = 16049304
Lets's calculate GCF of 64,676
2 | 64, 676 |
2 | 32, 338 |
16, 169 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16049304/4
Therefore the LCM of Fractions 6621/64,7272/676 is 4012326
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 676
List of positive integer factors of 676 that divides 676 without a remainder.
1,2,4,13,26,52,169,338,676
Greatest Common Factor
We found the factors 64,676 . The biggest common factor number is the GCF number.
So the greatest common factor 64,676 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 6621/64, 7272/676?
Answer: LCM of Numerators as per given numbers 6621/64, 7272/676 is
LCM of Numerators i.e. for 6621,7272 is 16049304
GCF of denominators i.e. for 64,676 is 4.
Thus, LCM of Fractions is 4012326.Finally, LCM of Fractions for 6621/64, 7272/676 is 4012326.