Least Common Multiple of 163/84, 318/6802
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 163/84, 318/6802 quickly i.e. 25917 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 163/84, 318/6802 is 25917.
LCM(163/84, 318/6802) = 25917
LCM of 163/84, 318/6802
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 163/84,318/6802
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 163,318
Least Common Multiple of Numerators i.e. LCM of 163,318 is 51834.
GCF of Denominators means GCF of 84,6802 as per the given fractions.
GCF of 84,6802 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 163,318
LCM of Fractions 163/84,318/6802 is 25917
Given numbers has no common factors except 1. So, there LCM is their product i.e 51834
Least Common Multiple of 163,318 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 163,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(163,318) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(163,318) x common factors =1 x 1 = 1
LCM(163,318) = ( 163 × 318 ) / 1
LCM(163,318) = 51834 / 1
LCM(163,318) = 51834
Lets's calculate GCF of 84,6802
| 2 | 84, 6802 |
| 42, 3401 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51834/2
Therefore the LCM of Fractions 163/84,318/6802 is 25917