Least Common Multiple of 2/72, 201/84, 343/99
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2/72, 201/84, 343/99 quickly i.e. 45962 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2/72, 201/84, 343/99 is 45962.
LCM(2/72, 201/84, 343/99) = 45962
LCM of 2/72, 201/84, 343/99
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2/72,201/84,343/99
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 2,201,343
Least Common Multiple of Numerators i.e. LCM of 2,201,343 is 137886.
GCF of Denominators means GCF of 72,84,99 as per the given fractions.
GCF of 72,84,99 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2,201,343
LCM of Fractions 2/72,201/84,343/99 is 45962
Given numbers has no common factors except 1. So, there LCM is their product i.e 137886
Least Common Multiple of 2,201,343 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 2,201,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2,201,343) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2,201,343) x common factors =1 x 1 = 1
LCM(2,201,343) = ( 2 × 201 × 343 ) / 1
LCM(2,201,343) = 137886 / 1
LCM(2,201,343) = 137886
Lets's calculate GCF of 72,84,99
| 3 | 72, 84, 99 |
| 24, 28, 33 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 137886/3
Therefore the LCM of Fractions 2/72,201/84,343/99 is 45962