Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 342/355, 331/407 quickly i.e. 113202 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 342/355, 331/407 is 113202.
LCM(342/355, 331/407) = 113202
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 342/355,331/407
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 342,331
Least Common Multiple of Numerators i.e. LCM of 342,331 is 113202.
GCF of Denominators means GCF of 355,407 as per the given fractions.
GCF of 355,407 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 342,331
Given numbers has no common factors except 1. So, there LCM is their product i.e 113202
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 342,331 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,331) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(342,331) x common factors =1 x 1 = 1
LCM(342,331) = ( 342 × 331 ) / 1
LCM(342,331) = 113202 / 1
LCM(342,331) = 113202
Lets's calculate GCF of 355,407
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 113202/1
Therefore the LCM of Fractions 342/355,331/407 is 113202
Factors of 355
List of positive integer factors of 355 that divides 355 without a remainder.
1,5,71,355
Factors of 407
List of positive integer factors of 407 that divides 407 without a remainder.
1,11,37,407
Greatest Common Factor
We found the factors 355,407 . The biggest common factor number is the GCF number.
So the greatest common factor 355,407 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 342/355, 331/407?
Answer: LCM of Numerators as per given numbers 342/355, 331/407 is
LCM of Numerators i.e. for 342,331 is 113202
GCF of denominators i.e. for 355,407 is 1.
Thus, LCM of Fractions is 113202.Finally, LCM of Fractions for 342/355, 331/407 is 113202.