Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 56/486, 5525/3506 quickly i.e. 154700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 56/486, 5525/3506 is 154700.
LCM(56/486, 5525/3506) = 154700
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 56/486,5525/3506
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 56,5525
Least Common Multiple of Numerators i.e. LCM of 56,5525 is 309400.
GCF of Denominators means GCF of 486,3506 as per the given fractions.
GCF of 486,3506 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 56,5525
Given numbers has no common factors except 1. So, there LCM is their product i.e 309400
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 56,5525 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,5525) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(56,5525) x common factors =1 x 1 = 1
LCM(56,5525) = ( 56 × 5525 ) / 1
LCM(56,5525) = 309400 / 1
LCM(56,5525) = 309400
Lets's calculate GCF of 486,3506
2 | 486, 3506 |
243, 1753 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 309400/2
Therefore the LCM of Fractions 56/486,5525/3506 is 154700
Factors of 486
List of positive integer factors of 486 that divides 486 without a remainder.
1,2,3,6,9,18,27,54,81,162,243,486
Factors of 3506
List of positive integer factors of 3506 that divides 3506 without a remainder.
1,2,1753,3506
Greatest Common Factor
We found the factors 486,3506 . The biggest common factor number is the GCF number.
So the greatest common factor 486,3506 is 2.
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 56/486, 5525/3506?
Answer: LCM of Numerators as per given numbers 56/486, 5525/3506 is
LCM of Numerators i.e. for 56,5525 is 309400
GCF of denominators i.e. for 486,3506 is 2.
Thus, LCM of Fractions is 154700.Finally, LCM of Fractions for 56/486, 5525/3506 is 154700.