Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 47/354, 838/365, 433/431 quickly i.e. 17054138 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 47/354, 838/365, 433/431 is 17054138.
LCM(47/354, 838/365, 433/431) = 17054138
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 47/354,838/365,433/431
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 47,838,433
Least Common Multiple of Numerators i.e. LCM of 47,838,433 is 17054138.
GCF of Denominators means GCF of 354,365,431 as per the given fractions.
GCF of 354,365,431 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 47,838,433
Given numbers has no common factors except 1. So, there LCM is their product i.e 17054138
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 47,838,433 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,838,433) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,838,433) x common factors =1 x 1 = 1
LCM(47,838,433) = ( 47 × 838 × 433 ) / 1
LCM(47,838,433) = 17054138 / 1
LCM(47,838,433) = 17054138
Lets's calculate GCF of 354,365,431
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17054138/1
Therefore the LCM of Fractions 47/354,838/365,433/431 is 17054138
Factors of 354
List of positive integer factors of 354 that divides 354 without a remainder.
1,2,3,6,59,118,177,354
Factors of 365
List of positive integer factors of 365 that divides 365 without a remainder.
1,5,73,365
Factors of 431
List of positive integer factors of 431 that divides 431 without a remainder.
1,431
Greatest Common Factor
We found the factors 354,365,431 . The biggest common factor number is the GCF number.
So the greatest common factor 354,365,431 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 47/354, 838/365, 433/431?
Answer: LCM of Numerators as per given numbers 47/354, 838/365, 433/431 is
LCM of Numerators i.e. for 47,838,433 is 17054138
GCF of denominators i.e. for 354,365,431 is 1.
Thus, LCM of Fractions is 17054138.Finally, LCM of Fractions for 47/354, 838/365, 433/431 is 17054138.