Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 86/556, 3253/7551 quickly i.e. 279758 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 86/556, 3253/7551 is 279758.
LCM(86/556, 3253/7551) = 279758
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 86/556,3253/7551
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 86,3253
Least Common Multiple of Numerators i.e. LCM of 86,3253 is 279758.
GCF of Denominators means GCF of 556,7551 as per the given fractions.
GCF of 556,7551 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 86,3253
Given numbers has no common factors except 1. So, there LCM is their product i.e 279758
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 86,3253 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,3253) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(86,3253) x common factors =1 x 1 = 1
LCM(86,3253) = ( 86 × 3253 ) / 1
LCM(86,3253) = 279758 / 1
LCM(86,3253) = 279758
Lets's calculate GCF of 556,7551
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 279758/1
Therefore the LCM of Fractions 86/556,3253/7551 is 279758
Factors of 556
List of positive integer factors of 556 that divides 556 without a remainder.
1,2,4,139,278,556
Factors of 7551
List of positive integer factors of 7551 that divides 7551 without a remainder.
1,3,9,839,2517,7551
Greatest Common Factor
We found the factors 556,7551 . The biggest common factor number is the GCF number.
So the greatest common factor 556,7551 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 86/556, 3253/7551?
Answer: LCM of Numerators as per given numbers 86/556, 3253/7551 is
LCM of Numerators i.e. for 86,3253 is 279758
GCF of denominators i.e. for 556,7551 is 1.
Thus, LCM of Fractions is 279758.Finally, LCM of Fractions for 86/556, 3253/7551 is 279758.