Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 666/408, 347/926 quickly i.e. 115551 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 666/408, 347/926 is 115551.
LCM(666/408, 347/926) = 115551
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 666/408,347/926
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 666,347
Least Common Multiple of Numerators i.e. LCM of 666,347 is 231102.
GCF of Denominators means GCF of 408,926 as per the given fractions.
GCF of 408,926 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 666,347
Given numbers has no common factors except 1. So, there LCM is their product i.e 231102
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 666,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(666,347) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(666,347) x common factors =1 x 1 = 1
LCM(666,347) = ( 666 × 347 ) / 1
LCM(666,347) = 231102 / 1
LCM(666,347) = 231102
Lets's calculate GCF of 408,926
2 | 408, 926 |
204, 463 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 231102/2
Therefore the LCM of Fractions 666/408,347/926 is 115551
Factors of 408
List of positive integer factors of 408 that divides 408 without a remainder.
1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408
Factors of 926
List of positive integer factors of 926 that divides 926 without a remainder.
1,2,463,926
Greatest Common Factor
We found the factors 408,926 . The biggest common factor number is the GCF number.
So the greatest common factor 408,926 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 666/408, 347/926?
Answer: LCM of Numerators as per given numbers 666/408, 347/926 is
LCM of Numerators i.e. for 666,347 is 231102
GCF of denominators i.e. for 408,926 is 2.
Thus, LCM of Fractions is 115551.Finally, LCM of Fractions for 666/408, 347/926 is 115551.