Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 395/952, 337/411, 464/677 quickly i.e. 61765360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 395/952, 337/411, 464/677 is 61765360.
LCM(395/952, 337/411, 464/677) = 61765360
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 395/952,337/411,464/677
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 395,337,464
Least Common Multiple of Numerators i.e. LCM of 395,337,464 is 61765360.
GCF of Denominators means GCF of 952,411,677 as per the given fractions.
GCF of 952,411,677 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 395,337,464
Given numbers has no common factors except 1. So, there LCM is their product i.e 61765360
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 395,337,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(395,337,464) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(395,337,464) x common factors =1 x 1 = 1
LCM(395,337,464) = ( 395 × 337 × 464 ) / 1
LCM(395,337,464) = 61765360 / 1
LCM(395,337,464) = 61765360
Lets's calculate GCF of 952,411,677
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61765360/1
Therefore the LCM of Fractions 395/952,337/411,464/677 is 61765360
Factors of 952
List of positive integer factors of 952 that divides 952 without a remainder.
1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952
Factors of 411
List of positive integer factors of 411 that divides 411 without a remainder.
1,3,137,411
Factors of 677
List of positive integer factors of 677 that divides 677 without a remainder.
1,677
Greatest Common Factor
We found the factors 952,411,677 . The biggest common factor number is the GCF number.
So the greatest common factor 952,411,677 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 395/952, 337/411, 464/677?
Answer: LCM of Numerators as per given numbers 395/952, 337/411, 464/677 is
LCM of Numerators i.e. for 395,337,464 is 61765360
GCF of denominators i.e. for 952,411,677 is 1.
Thus, LCM of Fractions is 61765360.Finally, LCM of Fractions for 395/952, 337/411, 464/677 is 61765360.