Least Common Multiple of 68/870, 17/435
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 68/870, 17/435 quickly i.e. 68/435 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 68/870, 17/435 is 68/435.
LCM(68/870, 17/435) = 68/435
LCM of 68/870, 17/435
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 68/870,17/435
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 68,17
Least Common Multiple of Numerators i.e. LCM of 68,17 is 68.
GCF of Denominators means GCF of 870,435 as per the given fractions.
GCF of 870,435 is 435 as it is the largest common factor for these numbers.
Lets's calculate LCM of 68,17
LCM of Fractions 68/870,17/435 is 68/435
| 17 | 68, 17 |
| 4, 1 |
∴ So the LCM of the given numbers is 17 x 4 x 1 = 68
Least Common Multiple of 68,17 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 68,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,17) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(68,17) x common factors =17 x 1 = 17
LCM(68,17) = ( 68 × 17 ) / 17
LCM(68,17) = 1156 / 17
LCM(68,17) = 68
Lets's calculate GCF of 870,435
| 3 | 870, 435 |
| 5 | 290, 145 |
| 29 | 58, 29 |
| 2, 1 |
∴ So the GCF of the given numbers is 3 x 5 x 29 = 435
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68/435
Therefore the LCM of Fractions 68/870,17/435 is 68/435