Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 411/46, 979/65, 314/609 quickly i.e. 126343866 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 411/46, 979/65, 314/609 is 126343866.
LCM(411/46, 979/65, 314/609) = 126343866
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 411/46,979/65,314/609
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 411,979,314
Least Common Multiple of Numerators i.e. LCM of 411,979,314 is 126343866.
GCF of Denominators means GCF of 46,65,609 as per the given fractions.
GCF of 46,65,609 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 411,979,314
Given numbers has no common factors except 1. So, there LCM is their product i.e 126343866
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 411,979,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(411,979,314) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(411,979,314) x common factors =1 x 1 = 1
LCM(411,979,314) = ( 411 × 979 × 314 ) / 1
LCM(411,979,314) = 126343866 / 1
LCM(411,979,314) = 126343866
Lets's calculate GCF of 46,65,609
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 126343866/1
Therefore the LCM of Fractions 411/46,979/65,314/609 is 126343866
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 609
List of positive integer factors of 609 that divides 609 without a remainder.
1,3,7,21,29,87,203,609
Greatest Common Factor
We found the factors 46,65,609 . The biggest common factor number is the GCF number.
So the greatest common factor 46,65,609 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 411/46, 979/65, 314/609?
Answer: LCM of Numerators as per given numbers 411/46, 979/65, 314/609 is
LCM of Numerators i.e. for 411,979,314 is 126343866
GCF of denominators i.e. for 46,65,609 is 1.
Thus, LCM of Fractions is 126343866.Finally, LCM of Fractions for 411/46, 979/65, 314/609 is 126343866.