Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 604/71, 343/8539 quickly i.e. 207172 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 604/71, 343/8539 is 207172.
LCM(604/71, 343/8539) = 207172
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 604/71,343/8539
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 604,343
Least Common Multiple of Numerators i.e. LCM of 604,343 is 207172.
GCF of Denominators means GCF of 71,8539 as per the given fractions.
GCF of 71,8539 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 604,343
Given numbers has no common factors except 1. So, there LCM is their product i.e 207172
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 604,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(604,343) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(604,343) x common factors =1 x 1 = 1
LCM(604,343) = ( 604 × 343 ) / 1
LCM(604,343) = 207172 / 1
LCM(604,343) = 207172
Lets's calculate GCF of 71,8539
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 207172/1
Therefore the LCM of Fractions 604/71,343/8539 is 207172
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 8539
List of positive integer factors of 8539 that divides 8539 without a remainder.
1,8539
Greatest Common Factor
We found the factors 71,8539 . The biggest common factor number is the GCF number.
So the greatest common factor 71,8539 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 604/71, 343/8539?
Answer: LCM of Numerators as per given numbers 604/71, 343/8539 is
LCM of Numerators i.e. for 604,343 is 207172
GCF of denominators i.e. for 71,8539 is 1.
Thus, LCM of Fractions is 207172.Finally, LCM of Fractions for 604/71, 343/8539 is 207172.