Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 334/264, 651/659 quickly i.e. 217434 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 334/264, 651/659 is 217434.
LCM(334/264, 651/659) = 217434
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 334/264,651/659
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 334,651
Least Common Multiple of Numerators i.e. LCM of 334,651 is 217434.
GCF of Denominators means GCF of 264,659 as per the given fractions.
GCF of 264,659 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 334,651
Given numbers has no common factors except 1. So, there LCM is their product i.e 217434
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 334,651 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(334,651) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(334,651) x common factors =1 x 1 = 1
LCM(334,651) = ( 334 × 651 ) / 1
LCM(334,651) = 217434 / 1
LCM(334,651) = 217434
Lets's calculate GCF of 264,659
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 217434/1
Therefore the LCM of Fractions 334/264,651/659 is 217434
Factors of 264
List of positive integer factors of 264 that divides 264 without a remainder.
1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264
Factors of 659
List of positive integer factors of 659 that divides 659 without a remainder.
1,659
Greatest Common Factor
We found the factors 264,659 . The biggest common factor number is the GCF number.
So the greatest common factor 264,659 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 334/264, 651/659?
Answer: LCM of Numerators as per given numbers 334/264, 651/659 is
LCM of Numerators i.e. for 334,651 is 217434
GCF of denominators i.e. for 264,659 is 1.
Thus, LCM of Fractions is 217434.Finally, LCM of Fractions for 334/264, 651/659 is 217434.