Least Common Multiple of 306/901, 1934/342
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 306/901, 1934/342 quickly i.e. 295902 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 306/901, 1934/342 is 295902.
LCM(306/901, 1934/342) = 295902
LCM of 306/901, 1934/342
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 306/901,1934/342
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 306,1934
Least Common Multiple of Numerators i.e. LCM of 306,1934 is 295902.
GCF of Denominators means GCF of 901,342 as per the given fractions.
GCF of 901,342 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 306,1934
LCM of Fractions 306/901,1934/342 is 295902
| 2 | 306, 1934 |
| 153, 967 |
∴ So the LCM of the given numbers is 2 x 153 x 967 = 295902
Least Common Multiple of 306,1934 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 306,1934 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(306,1934) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(306,1934) x common factors =2 x 1 = 2
LCM(306,1934) = ( 306 × 1934 ) / 2
LCM(306,1934) = 591804 / 2
LCM(306,1934) = 295902
Lets's calculate GCF of 901,342
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 295902/1
Therefore the LCM of Fractions 306/901,1934/342 is 295902