Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 909/78, 143/46, 446/145 quickly i.e. 57974202 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 909/78, 143/46, 446/145 is 57974202.
LCM(909/78, 143/46, 446/145) = 57974202
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 909/78,143/46,446/145
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 909,143,446
Least Common Multiple of Numerators i.e. LCM of 909,143,446 is 57974202.
GCF of Denominators means GCF of 78,46,145 as per the given fractions.
GCF of 78,46,145 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 909,143,446
Given numbers has no common factors except 1. So, there LCM is their product i.e 57974202
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 909,143,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(909,143,446) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(909,143,446) x common factors =1 x 1 = 1
LCM(909,143,446) = ( 909 × 143 × 446 ) / 1
LCM(909,143,446) = 57974202 / 1
LCM(909,143,446) = 57974202
Lets's calculate GCF of 78,46,145
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57974202/1
Therefore the LCM of Fractions 909/78,143/46,446/145 is 57974202
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 145
List of positive integer factors of 145 that divides 145 without a remainder.
1,5,29,145
Greatest Common Factor
We found the factors 78,46,145 . The biggest common factor number is the GCF number.
So the greatest common factor 78,46,145 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 909/78, 143/46, 446/145?
Answer: LCM of Numerators as per given numbers 909/78, 143/46, 446/145 is
LCM of Numerators i.e. for 909,143,446 is 57974202
GCF of denominators i.e. for 78,46,145 is 1.
Thus, LCM of Fractions is 57974202.Finally, LCM of Fractions for 909/78, 143/46, 446/145 is 57974202.