Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 347/515, 842/738 quickly i.e. 292174 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 347/515, 842/738 is 292174.
LCM(347/515, 842/738) = 292174
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 347/515,842/738
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 347,842
Least Common Multiple of Numerators i.e. LCM of 347,842 is 292174.
GCF of Denominators means GCF of 515,738 as per the given fractions.
GCF of 515,738 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 347,842
Given numbers has no common factors except 1. So, there LCM is their product i.e 292174
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 347,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(347,842) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(347,842) x common factors =1 x 1 = 1
LCM(347,842) = ( 347 × 842 ) / 1
LCM(347,842) = 292174 / 1
LCM(347,842) = 292174
Lets's calculate GCF of 515,738
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 292174/1
Therefore the LCM of Fractions 347/515,842/738 is 292174
Factors of 515
List of positive integer factors of 515 that divides 515 without a remainder.
1,5,103,515
Factors of 738
List of positive integer factors of 738 that divides 738 without a remainder.
1,2,3,6,9,18,41,82,123,246,369,738
Greatest Common Factor
We found the factors 515,738 . The biggest common factor number is the GCF number.
So the greatest common factor 515,738 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 347/515, 842/738?
Answer: LCM of Numerators as per given numbers 347/515, 842/738 is
LCM of Numerators i.e. for 347,842 is 292174
GCF of denominators i.e. for 515,738 is 1.
Thus, LCM of Fractions is 292174.Finally, LCM of Fractions for 347/515, 842/738 is 292174.