Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/686, 422/860, 657/298 quickly i.e. 4436064 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/686, 422/860, 657/298 is 4436064.
LCM(64/686, 422/860, 657/298) = 4436064
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/686,422/860,657/298
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 64,422,657
Least Common Multiple of Numerators i.e. LCM of 64,422,657 is 8872128.
GCF of Denominators means GCF of 686,860,298 as per the given fractions.
GCF of 686,860,298 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,422,657
2 | 64, 422, 657 |
32, 211, 657 |
∴ So the LCM of the given numbers is 2 x 32 x 211 x 657 = 8872128
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 64,422,657 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,422,657) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(64,422,657) x common factors =1 x 2 = 2
LCM(64,422,657) = ( 64 × 422 × 657 ) / 2
LCM(64,422,657) = 17744256 / 2
LCM(64,422,657) = 8872128
Lets's calculate GCF of 686,860,298
2 | 686, 860, 298 |
343, 430, 149 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8872128/2
Therefore the LCM of Fractions 64/686,422/860,657/298 is 4436064
Factors of 686
List of positive integer factors of 686 that divides 686 without a remainder.
1,2,7,14,49,98,343,686
Factors of 860
List of positive integer factors of 860 that divides 860 without a remainder.
1,2,4,5,10,20,43,86,172,215,430,860
Factors of 298
List of positive integer factors of 298 that divides 298 without a remainder.
1,2,149,298
Greatest Common Factor
We found the factors 686,860,298 . The biggest common factor number is the GCF number.
So the greatest common factor 686,860,298 is 2.
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 64/686, 422/860, 657/298?
Answer: LCM of Numerators as per given numbers 64/686, 422/860, 657/298 is
LCM of Numerators i.e. for 64,422,657 is 8872128
GCF of denominators i.e. for 686,860,298 is 2.
Thus, LCM of Fractions is 4436064.Finally, LCM of Fractions for 64/686, 422/860, 657/298 is 4436064.