Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 246/395, 145/507 quickly i.e. 35670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 246/395, 145/507 is 35670.
LCM(246/395, 145/507) = 35670
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 246/395,145/507
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 246,145
Least Common Multiple of Numerators i.e. LCM of 246,145 is 35670.
GCF of Denominators means GCF of 395,507 as per the given fractions.
GCF of 395,507 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 246,145
Given numbers has no common factors except 1. So, there LCM is their product i.e 35670
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 246,145 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(246,145) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(246,145) x common factors =1 x 1 = 1
LCM(246,145) = ( 246 × 145 ) / 1
LCM(246,145) = 35670 / 1
LCM(246,145) = 35670
Lets's calculate GCF of 395,507
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35670/1
Therefore the LCM of Fractions 246/395,145/507 is 35670
Factors of 395
List of positive integer factors of 395 that divides 395 without a remainder.
1,5,79,395
Factors of 507
List of positive integer factors of 507 that divides 507 without a remainder.
1,3,13,39,169,507
Greatest Common Factor
We found the factors 395,507 . The biggest common factor number is the GCF number.
So the greatest common factor 395,507 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 246/395, 145/507?
Answer: LCM of Numerators as per given numbers 246/395, 145/507 is
LCM of Numerators i.e. for 246,145 is 35670
GCF of denominators i.e. for 395,507 is 1.
Thus, LCM of Fractions is 35670.Finally, LCM of Fractions for 246/395, 145/507 is 35670.