Least Common Multiple of 49/209, 35/795
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 49/209, 35/795 quickly i.e. 245 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 49/209, 35/795 is 245.
LCM(49/209, 35/795) = 245
LCM of 49/209, 35/795
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 49/209,35/795
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 49,35
Least Common Multiple of Numerators i.e. LCM of 49,35 is 245.
GCF of Denominators means GCF of 209,795 as per the given fractions.
GCF of 209,795 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 49,35
LCM of Fractions 49/209,35/795 is 245
| 7 | 49, 35 |
| 7, 5 |
∴ So the LCM of the given numbers is 7 x 7 x 5 = 245
Least Common Multiple of 49,35 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 49,35 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,35) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(49,35) x common factors =7 x 1 = 7
LCM(49,35) = ( 49 × 35 ) / 7
LCM(49,35) = 1715 / 7
LCM(49,35) = 245
Lets's calculate GCF of 209,795
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 245/1
Therefore the LCM of Fractions 49/209,35/795 is 245