Least Common Multiple of 2/245, 17/712, 24/842
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2/245, 17/712, 24/842 quickly i.e. 408 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2/245, 17/712, 24/842 is 408.
LCM(2/245, 17/712, 24/842) = 408
LCM of 2/245, 17/712, 24/842
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2/245,17/712,24/842
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 2,17,24
Least Common Multiple of Numerators i.e. LCM of 2,17,24 is 408.
GCF of Denominators means GCF of 245,712,842 as per the given fractions.
GCF of 245,712,842 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2,17,24
LCM of Fractions 2/245,17/712,24/842 is 408
| 2 | 2, 17, 24 |
| 1, 17, 12 |
∴ So the LCM of the given numbers is 2 x 1 x 17 x 12 = 408
Least Common Multiple of 2,17,24 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 2,17,24 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2,17,24) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(2,17,24) x common factors =1 x 2 = 2
LCM(2,17,24) = ( 2 × 17 × 24 ) / 2
LCM(2,17,24) = 816 / 2
LCM(2,17,24) = 408
Lets's calculate GCF of 245,712,842
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 408/1
Therefore the LCM of Fractions 2/245,17/712,24/842 is 408