Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5110/525, 6011/3018 quickly i.e. 30716210/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5110/525, 6011/3018 is 30716210/3.
LCM(5110/525, 6011/3018) = 30716210/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5110/525,6011/3018
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 5110,6011
Least Common Multiple of Numerators i.e. LCM of 5110,6011 is 30716210.
GCF of Denominators means GCF of 525,3018 as per the given fractions.
GCF of 525,3018 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5110,6011
Given numbers has no common factors except 1. So, there LCM is their product i.e 30716210
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 5110,6011 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5110,6011) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5110,6011) x common factors =1 x 1 = 1
LCM(5110,6011) = ( 5110 × 6011 ) / 1
LCM(5110,6011) = 30716210 / 1
LCM(5110,6011) = 30716210
Lets's calculate GCF of 525,3018
3 | 525, 3018 |
175, 1006 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30716210/3
Therefore the LCM of Fractions 5110/525,6011/3018 is 30716210/3
Factors of 525
List of positive integer factors of 525 that divides 525 without a remainder.
1,3,5,7,15,21,25,35,75,105,175,525
Factors of 3018
List of positive integer factors of 3018 that divides 3018 without a remainder.
1,2,3,6,503,1006,1509,3018
Greatest Common Factor
We found the factors 525,3018 . The biggest common factor number is the GCF number.
So the greatest common factor 525,3018 is 3.
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 5110/525, 6011/3018?
Answer: LCM of Numerators as per given numbers 5110/525, 6011/3018 is
LCM of Numerators i.e. for 5110,6011 is 30716210
GCF of denominators i.e. for 525,3018 is 3.
Thus, LCM of Fractions is 30716210/3.Finally, LCM of Fractions for 5110/525, 6011/3018 is 30716210/3.