Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 41/385, 94/178, 859/433 quickly i.e. 3310586 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 41/385, 94/178, 859/433 is 3310586.
LCM(41/385, 94/178, 859/433) = 3310586
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 41/385,94/178,859/433
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 41,94,859
Least Common Multiple of Numerators i.e. LCM of 41,94,859 is 3310586.
GCF of Denominators means GCF of 385,178,433 as per the given fractions.
GCF of 385,178,433 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 41,94,859
Given numbers has no common factors except 1. So, there LCM is their product i.e 3310586
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 41,94,859 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,94,859) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,94,859) x common factors =1 x 1 = 1
LCM(41,94,859) = ( 41 × 94 × 859 ) / 1
LCM(41,94,859) = 3310586 / 1
LCM(41,94,859) = 3310586
Lets's calculate GCF of 385,178,433
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3310586/1
Therefore the LCM of Fractions 41/385,94/178,859/433 is 3310586
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 178
List of positive integer factors of 178 that divides 178 without a remainder.
1,2,89,178
Factors of 433
List of positive integer factors of 433 that divides 433 without a remainder.
1,433
Greatest Common Factor
We found the factors 385,178,433 . The biggest common factor number is the GCF number.
So the greatest common factor 385,178,433 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 41/385, 94/178, 859/433?
Answer: LCM of Numerators as per given numbers 41/385, 94/178, 859/433 is
LCM of Numerators i.e. for 41,94,859 is 3310586
GCF of denominators i.e. for 385,178,433 is 1.
Thus, LCM of Fractions is 3310586.Finally, LCM of Fractions for 41/385, 94/178, 859/433 is 3310586.