Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 41/603, 869/385, 702/886 quickly i.e. 25011558 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 41/603, 869/385, 702/886 is 25011558.
LCM(41/603, 869/385, 702/886) = 25011558
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 41/603,869/385,702/886
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 41,869,702
Least Common Multiple of Numerators i.e. LCM of 41,869,702 is 25011558.
GCF of Denominators means GCF of 603,385,886 as per the given fractions.
GCF of 603,385,886 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 41,869,702
Given numbers has no common factors except 1. So, there LCM is their product i.e 25011558
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 41,869,702 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,869,702) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,869,702) x common factors =1 x 1 = 1
LCM(41,869,702) = ( 41 × 869 × 702 ) / 1
LCM(41,869,702) = 25011558 / 1
LCM(41,869,702) = 25011558
Lets's calculate GCF of 603,385,886
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25011558/1
Therefore the LCM of Fractions 41/603,869/385,702/886 is 25011558
Factors of 603
List of positive integer factors of 603 that divides 603 without a remainder.
1,3,9,67,201,603
Factors of 385
List of positive integer factors of 385 that divides 385 without a remainder.
1,5,7,11,35,55,77,385
Factors of 886
List of positive integer factors of 886 that divides 886 without a remainder.
1,2,443,886
Greatest Common Factor
We found the factors 603,385,886 . The biggest common factor number is the GCF number.
So the greatest common factor 603,385,886 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 41/603, 869/385, 702/886?
Answer: LCM of Numerators as per given numbers 41/603, 869/385, 702/886 is
LCM of Numerators i.e. for 41,869,702 is 25011558
GCF of denominators i.e. for 603,385,886 is 1.
Thus, LCM of Fractions is 25011558.Finally, LCM of Fractions for 41/603, 869/385, 702/886 is 25011558.