Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 47/317, 779/607, 507/372 quickly i.e. 18562791 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 47/317, 779/607, 507/372 is 18562791.
LCM(47/317, 779/607, 507/372) = 18562791
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 47/317,779/607,507/372
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 47,779,507
Least Common Multiple of Numerators i.e. LCM of 47,779,507 is 18562791.
GCF of Denominators means GCF of 317,607,372 as per the given fractions.
GCF of 317,607,372 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 47,779,507
Given numbers has no common factors except 1. So, there LCM is their product i.e 18562791
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 47,779,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,779,507) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,779,507) x common factors =1 x 1 = 1
LCM(47,779,507) = ( 47 × 779 × 507 ) / 1
LCM(47,779,507) = 18562791 / 1
LCM(47,779,507) = 18562791
Lets's calculate GCF of 317,607,372
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18562791/1
Therefore the LCM of Fractions 47/317,779/607,507/372 is 18562791
Factors of 317
List of positive integer factors of 317 that divides 317 without a remainder.
1,317
Factors of 607
List of positive integer factors of 607 that divides 607 without a remainder.
1,607
Factors of 372
List of positive integer factors of 372 that divides 372 without a remainder.
1,2,3,4,6,12,31,62,93,124,186,372
Greatest Common Factor
We found the factors 317,607,372 . The biggest common factor number is the GCF number.
So the greatest common factor 317,607,372 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 47/317, 779/607, 507/372?
Answer: LCM of Numerators as per given numbers 47/317, 779/607, 507/372 is
LCM of Numerators i.e. for 47,779,507 is 18562791
GCF of denominators i.e. for 317,607,372 is 1.
Thus, LCM of Fractions is 18562791.Finally, LCM of Fractions for 47/317, 779/607, 507/372 is 18562791.