Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 36/556, 85/417 quickly i.e. 3060/139 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 36/556, 85/417 is 3060/139.
LCM(36/556, 85/417) = 3060/139
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 36/556,85/417
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 36,85
Least Common Multiple of Numerators i.e. LCM of 36,85 is 3060.
GCF of Denominators means GCF of 556,417 as per the given fractions.
GCF of 556,417 is 139 as it is the largest common factor for these numbers.
Lets's calculate LCM of 36,85
Given numbers has no common factors except 1. So, there LCM is their product i.e 3060
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 36,85 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,85) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(36,85) x common factors =1 x 1 = 1
LCM(36,85) = ( 36 × 85 ) / 1
LCM(36,85) = 3060 / 1
LCM(36,85) = 3060
Lets's calculate GCF of 556,417
139 | 556, 417 |
4, 3 |
∴ So the GCF of the given numbers is 139 = 139
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3060/139
Therefore the LCM of Fractions 36/556,85/417 is 3060/139
Factors of 556
List of positive integer factors of 556 that divides 556 without a remainder.
1,2,4,139,278,556
Factors of 417
List of positive integer factors of 417 that divides 417 without a remainder.
1,3,139,417
Greatest Common Factor
We found the factors 556,417 . The biggest common factor number is the GCF number.
So the greatest common factor 556,417 is 139.
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 36/556, 85/417?
Answer: LCM of Numerators as per given numbers 36/556, 85/417 is
LCM of Numerators i.e. for 36,85 is 3060
GCF of denominators i.e. for 556,417 is 139.
Thus, LCM of Fractions is 3060/139.Finally, LCM of Fractions for 36/556, 85/417 is 3060/139.