Least Common Multiple of 69/60, 27/35, 72/889
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 69/60, 27/35, 72/889 quickly i.e. 4968 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 69/60, 27/35, 72/889 is 4968.
LCM(69/60, 27/35, 72/889) = 4968
LCM of 69/60, 27/35, 72/889
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 69/60,27/35,72/889
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 69,27,72
Least Common Multiple of Numerators i.e. LCM of 69,27,72 is 4968.
GCF of Denominators means GCF of 60,35,889 as per the given fractions.
GCF of 60,35,889 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 69,27,72
LCM of Fractions 69/60,27/35,72/889 is 4968
| 3 | 69, 27, 72 |
| 3 | 23, 9, 24 |
| 23, 3, 8 |
∴ So the LCM of the given numbers is 3 x 3 x 23 x 3 x 8 = 4968
Least Common Multiple of 69,27,72 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 69,27,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,27,72) = 3
common factors(in case of two or more numbers have common factors) = 9
GCF(69,27,72) x common factors =3 x 9 = 27
LCM(69,27,72) = ( 69 × 27 × 72 ) / 27
LCM(69,27,72) = 134136 / 27
LCM(69,27,72) = 4968
Lets's calculate GCF of 60,35,889
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4968/1
Therefore the LCM of Fractions 69/60,27/35,72/889 is 4968