Know Least Common Multiple of fractions 7975/85, 3537/552 quickly i.e. 28207575 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7975/85, 3537/552 is 28207575.
LCM(7975/85, 3537/552) = 28207575
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7975/85,3537/552
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 7975,3537
Least Common Multiple of Numerators i.e. LCM of 7975,3537 is 28207575.
GCF of Denominators means GCF of 85,552 as per the given fractions.
GCF of 85,552 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7975,3537
Given numbers has no common factors except 1. So, there LCM is their product i.e 28207575
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 7975,3537 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7975,3537) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7975,3537) x common factors =1 x 1 = 1
LCM(7975,3537) = ( 7975 × 3537 ) / 1
LCM(7975,3537) = 28207575 / 1
LCM(7975,3537) = 28207575
Lets's calculate GCF of 85,552
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28207575/1
Therefore the LCM of Fractions 7975/85,3537/552 is 28207575
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
Factors of 552
List of positive integer factors of 552 that divides 552 without a remainder.
Greatest Common Factor
We found the factors 85,552 . The biggest common factor number is the GCF number.
So the greatest common factor 85,552 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 7975/85, 3537/552?
Answer: LCM of Numerators as per given numbers 7975/85, 3537/552 is
LCM of Numerators i.e. for 7975,3537 is 28207575
GCF of denominators i.e. for 85,552 is 1.
Thus, LCM of Fractions is 28207575.Finally, LCM of Fractions for 7975/85, 3537/552 is 28207575.