Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7560/555, 6255/805 quickly i.e. 210168 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7560/555, 6255/805 is 210168.
LCM(7560/555, 6255/805) = 210168
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7560/555,6255/805
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 7560,6255
Least Common Multiple of Numerators i.e. LCM of 7560,6255 is 1050840.
GCF of Denominators means GCF of 555,805 as per the given fractions.
GCF of 555,805 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7560,6255
3 | 7560, 6255 |
3 | 2520, 2085 |
5 | 840, 695 |
168, 139 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 168 x 139 = 1050840
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 7560,6255 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7560,6255) = 45
common factors(in case of two or more numbers have common factors) = 1
GCF(7560,6255) x common factors =45 x 1 = 45
LCM(7560,6255) = ( 7560 × 6255 ) / 45
LCM(7560,6255) = 47287800 / 45
LCM(7560,6255) = 1050840
Lets's calculate GCF of 555,805
5 | 555, 805 |
111, 161 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1050840/5
Therefore the LCM of Fractions 7560/555,6255/805 is 210168
Factors of 555
List of positive integer factors of 555 that divides 555 without a remainder.
1,3,5,15,37,111,185,555
Factors of 805
List of positive integer factors of 805 that divides 805 without a remainder.
1,5,7,23,35,115,161,805
Greatest Common Factor
We found the factors 555,805 . The biggest common factor number is the GCF number.
So the greatest common factor 555,805 is 5.
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 7560/555, 6255/805?
Answer: LCM of Numerators as per given numbers 7560/555, 6255/805 is
LCM of Numerators i.e. for 7560,6255 is 1050840
GCF of denominators i.e. for 555,805 is 5.
Thus, LCM of Fractions is 210168.Finally, LCM of Fractions for 7560/555, 6255/805 is 210168.