Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 348/59, 415/8430 quickly i.e. 144420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 348/59, 415/8430 is 144420.
LCM(348/59, 415/8430) = 144420
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 348/59,415/8430
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 348,415
Least Common Multiple of Numerators i.e. LCM of 348,415 is 144420.
GCF of Denominators means GCF of 59,8430 as per the given fractions.
GCF of 59,8430 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 348,415
Given numbers has no common factors except 1. So, there LCM is their product i.e 144420
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 348,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(348,415) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(348,415) x common factors =1 x 1 = 1
LCM(348,415) = ( 348 × 415 ) / 1
LCM(348,415) = 144420 / 1
LCM(348,415) = 144420
Lets's calculate GCF of 59,8430
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 144420/1
Therefore the LCM of Fractions 348/59,415/8430 is 144420
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 8430
List of positive integer factors of 8430 that divides 8430 without a remainder.
1,2,3,5,6,10,15,30,281,562,843,1405,1686,2810,4215,8430
Greatest Common Factor
We found the factors 59,8430 . The biggest common factor number is the GCF number.
So the greatest common factor 59,8430 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 348/59, 415/8430?
Answer: LCM of Numerators as per given numbers 348/59, 415/8430 is
LCM of Numerators i.e. for 348,415 is 144420
GCF of denominators i.e. for 59,8430 is 1.
Thus, LCM of Fractions is 144420.Finally, LCM of Fractions for 348/59, 415/8430 is 144420.