Least Common Multiple of 8123/945, 6099/321
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8123/945, 6099/321 quickly i.e. 16514059 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8123/945, 6099/321 is 16514059.
LCM(8123/945, 6099/321) = 16514059
LCM of 8123/945, 6099/321
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8123/945,6099/321
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 8123,6099
Least Common Multiple of Numerators i.e. LCM of 8123,6099 is 49542177.
GCF of Denominators means GCF of 945,321 as per the given fractions.
GCF of 945,321 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8123,6099
LCM of Fractions 8123/945,6099/321 is 16514059
Given numbers has no common factors except 1. So, there LCM is their product i.e 49542177
Least Common Multiple of 8123,6099 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 8123,6099 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8123,6099) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8123,6099) x common factors =1 x 1 = 1
LCM(8123,6099) = ( 8123 × 6099 ) / 1
LCM(8123,6099) = 49542177 / 1
LCM(8123,6099) = 49542177
Lets's calculate GCF of 945,321
| 3 | 945, 321 |
| 315, 107 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49542177/3
Therefore the LCM of Fractions 8123/945,6099/321 is 16514059