Least Common Multiple of 760/308, 9225/9105
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 760/308, 9225/9105 quickly i.e. 1402200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 760/308, 9225/9105 is 1402200.
LCM(760/308, 9225/9105) = 1402200
LCM of 760/308, 9225/9105
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 760/308,9225/9105
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 760,9225
Least Common Multiple of Numerators i.e. LCM of 760,9225 is 1402200.
GCF of Denominators means GCF of 308,9105 as per the given fractions.
GCF of 308,9105 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 760,9225
LCM of Fractions 760/308,9225/9105 is 1402200
| 5 | 760, 9225 |
| 152, 1845 |
∴ So the LCM of the given numbers is 5 x 152 x 1845 = 1402200
Least Common Multiple of 760,9225 with GCF Formula
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 760,9225 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(760,9225) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(760,9225) x common factors =5 x 1 = 5
LCM(760,9225) = ( 760 × 9225 ) / 5
LCM(760,9225) = 7011000 / 5
LCM(760,9225) = 1402200
Lets's calculate GCF of 308,9105
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1402200/1
Therefore the LCM of Fractions 760/308,9225/9105 is 1402200
