Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 411/51, 323/41, 787/978 quickly i.e. 104476611 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 411/51, 323/41, 787/978 is 104476611.
LCM(411/51, 323/41, 787/978) = 104476611
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 411/51,323/41,787/978
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 411,323,787
Least Common Multiple of Numerators i.e. LCM of 411,323,787 is 104476611.
GCF of Denominators means GCF of 51,41,978 as per the given fractions.
GCF of 51,41,978 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 411,323,787
Given numbers has no common factors except 1. So, there LCM is their product i.e 104476611
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 411,323,787 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(411,323,787) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(411,323,787) x common factors =1 x 1 = 1
LCM(411,323,787) = ( 411 × 323 × 787 ) / 1
LCM(411,323,787) = 104476611 / 1
LCM(411,323,787) = 104476611
Lets's calculate GCF of 51,41,978
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104476611/1
Therefore the LCM of Fractions 411/51,323/41,787/978 is 104476611
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 978
List of positive integer factors of 978 that divides 978 without a remainder.
1,2,3,6,163,326,489,978
Greatest Common Factor
We found the factors 51,41,978 . The biggest common factor number is the GCF number.
So the greatest common factor 51,41,978 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 411/51, 323/41, 787/978?
Answer: LCM of Numerators as per given numbers 411/51, 323/41, 787/978 is
LCM of Numerators i.e. for 411,323,787 is 104476611
GCF of denominators i.e. for 51,41,978 is 1.
Thus, LCM of Fractions is 104476611.Finally, LCM of Fractions for 411/51, 323/41, 787/978 is 104476611.