Least Common Multiple of 68/312, 44/119
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 68/312, 44/119 quickly i.e. 748 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 68/312, 44/119 is 748.
LCM(68/312, 44/119) = 748
LCM of 68/312, 44/119
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 68/312,44/119
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 68,44
Least Common Multiple of Numerators i.e. LCM of 68,44 is 748.
GCF of Denominators means GCF of 312,119 as per the given fractions.
GCF of 312,119 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 68,44
LCM of Fractions 68/312,44/119 is 748
| 2 | 68, 44 |
| 2 | 34, 22 |
| 17, 11 |
∴ So the LCM of the given numbers is 2 x 2 x 17 x 11 = 748
Least Common Multiple of 68,44 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 68,44 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,44) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(68,44) x common factors =4 x 1 = 4
LCM(68,44) = ( 68 × 44 ) / 4
LCM(68,44) = 2992 / 4
LCM(68,44) = 748
Lets's calculate GCF of 312,119
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 748/1
Therefore the LCM of Fractions 68/312,44/119 is 748