Know Least Common Multiple of fractions 767/14, 612/4545 quickly i.e. 469404 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 767/14, 612/4545 is 469404.
LCM(767/14, 612/4545) = 469404
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 767/14,612/4545
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 767,612
Least Common Multiple of Numerators i.e. LCM of 767,612 is 469404.
GCF of Denominators means GCF of 14,4545 as per the given fractions.
GCF of 14,4545 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 767,612
Given numbers has no common factors except 1. So, there LCM is their product i.e 469404
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 767,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(767,612) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(767,612) x common factors =1 x 1 = 1
LCM(767,612) = ( 767 × 612 ) / 1
LCM(767,612) = 469404 / 1
LCM(767,612) = 469404
Lets's calculate GCF of 14,4545
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 469404/1
Therefore the LCM of Fractions 767/14,612/4545 is 469404
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
Factors of 4545
List of positive integer factors of 4545 that divides 4545 without a remainder.
Greatest Common Factor
We found the factors 14,4545 . The biggest common factor number is the GCF number.
So the greatest common factor 14,4545 is 1.
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 767/14, 612/4545?
Answer: LCM of Numerators as per given numbers 767/14, 612/4545 is
LCM of Numerators i.e. for 767,612 is 469404
GCF of denominators i.e. for 14,4545 is 1.
Thus, LCM of Fractions is 469404.Finally, LCM of Fractions for 767/14, 612/4545 is 469404.