Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/679, 823/296, 351/658 quickly i.e. 18487872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/679, 823/296, 351/658 is 18487872.
LCM(64/679, 823/296, 351/658) = 18487872
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/679,823/296,351/658
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 64,823,351
Least Common Multiple of Numerators i.e. LCM of 64,823,351 is 18487872.
GCF of Denominators means GCF of 679,296,658 as per the given fractions.
GCF of 679,296,658 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,823,351
Given numbers has no common factors except 1. So, there LCM is their product i.e 18487872
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 64,823,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,823,351) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(64,823,351) x common factors =1 x 1 = 1
LCM(64,823,351) = ( 64 × 823 × 351 ) / 1
LCM(64,823,351) = 18487872 / 1
LCM(64,823,351) = 18487872
Lets's calculate GCF of 679,296,658
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18487872/1
Therefore the LCM of Fractions 64/679,823/296,351/658 is 18487872
Factors of 679
List of positive integer factors of 679 that divides 679 without a remainder.
1,7,97,679
Factors of 296
List of positive integer factors of 296 that divides 296 without a remainder.
1,2,4,8,37,74,148,296
Factors of 658
List of positive integer factors of 658 that divides 658 without a remainder.
1,2,7,14,47,94,329,658
Greatest Common Factor
We found the factors 679,296,658 . The biggest common factor number is the GCF number.
So the greatest common factor 679,296,658 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 64/679, 823/296, 351/658?
Answer: LCM of Numerators as per given numbers 64/679, 823/296, 351/658 is
LCM of Numerators i.e. for 64,823,351 is 18487872
GCF of denominators i.e. for 679,296,658 is 1.
Thus, LCM of Fractions is 18487872.Finally, LCM of Fractions for 64/679, 823/296, 351/658 is 18487872.