Know Least Common Multiple of fractions 506/256, 1155/625 quickly i.e. 53130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 506/256, 1155/625 is 53130.
LCM(506/256, 1155/625) = 53130
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 506/256,1155/625
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 506,1155
Least Common Multiple of Numerators i.e. LCM of 506,1155 is 53130.
GCF of Denominators means GCF of 256,625 as per the given fractions.
GCF of 256,625 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 506,1155
∴ So the LCM of the given numbers is 11 x 46 x 105 = 53130
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 506,1155 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(506,1155) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(506,1155) x common factors =11 x 1 = 11
LCM(506,1155) = ( 506 × 1155 ) / 11
LCM(506,1155) = 584430 / 11
LCM(506,1155) = 53130
Lets's calculate GCF of 256,625
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53130/1
Therefore the LCM of Fractions 506/256,1155/625 is 53130
Factors of 256
List of positive integer factors of 256 that divides 256 without a remainder.
Factors of 625
List of positive integer factors of 625 that divides 625 without a remainder.
Greatest Common Factor
We found the factors 256,625 . The biggest common factor number is the GCF number.
So the greatest common factor 256,625 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 506/256, 1155/625?
Answer: LCM of Numerators as per given numbers 506/256, 1155/625 is
LCM of Numerators i.e. for 506,1155 is 53130
GCF of denominators i.e. for 256,625 is 1.
Thus, LCM of Fractions is 53130.Finally, LCM of Fractions for 506/256, 1155/625 is 53130.