Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1/294, 53/863, 41/390 quickly i.e. 2173 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1/294, 53/863, 41/390 is 2173.
LCM(1/294, 53/863, 41/390) = 2173
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1/294,53/863,41/390
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 1,53,41
Least Common Multiple of Numerators i.e. LCM of 1,53,41 is 2173.
GCF of Denominators means GCF of 294,863,390 as per the given fractions.
GCF of 294,863,390 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1,53,41
Given numbers has no common factors except 1. So, there LCM is their product i.e 2173
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 1,53,41 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1,53,41) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1,53,41) x common factors =1 x 1 = 1
LCM(1,53,41) = ( 1 × 53 × 41 ) / 1
LCM(1,53,41) = 2173 / 1
LCM(1,53,41) = 2173
Lets's calculate GCF of 294,863,390
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2173/1
Therefore the LCM of Fractions 1/294,53/863,41/390 is 2173
Factors of 294
List of positive integer factors of 294 that divides 294 without a remainder.
1,2,3,6,7,14,21,42,49,98,147,294
Factors of 863
List of positive integer factors of 863 that divides 863 without a remainder.
1,863
Factors of 390
List of positive integer factors of 390 that divides 390 without a remainder.
1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390
Greatest Common Factor
We found the factors 294,863,390 . The biggest common factor number is the GCF number.
So the greatest common factor 294,863,390 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 1/294, 53/863, 41/390?
Answer: LCM of Numerators as per given numbers 1/294, 53/863, 41/390 is
LCM of Numerators i.e. for 1,53,41 is 2173
GCF of denominators i.e. for 294,863,390 is 1.
Thus, LCM of Fractions is 2173.Finally, LCM of Fractions for 1/294, 53/863, 41/390 is 2173.