Least Common Multiple of 8/31, 50/409, 51/498
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8/31, 50/409, 51/498 quickly i.e. 10200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8/31, 50/409, 51/498 is 10200.
LCM(8/31, 50/409, 51/498) = 10200
LCM of 8/31, 50/409, 51/498
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8/31,50/409,51/498
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 8,50,51
Least Common Multiple of Numerators i.e. LCM of 8,50,51 is 10200.
GCF of Denominators means GCF of 31,409,498 as per the given fractions.
GCF of 31,409,498 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8,50,51
LCM of Fractions 8/31,50/409,51/498 is 10200
| 2 | 8, 50, 51 |
| 4, 25, 51 |
∴ So the LCM of the given numbers is 2 x 4 x 25 x 51 = 10200
Least Common Multiple of 8,50,51 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 8,50,51 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8,50,51) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(8,50,51) x common factors =1 x 2 = 2
LCM(8,50,51) = ( 8 × 50 × 51 ) / 2
LCM(8,50,51) = 20400 / 2
LCM(8,50,51) = 10200
Lets's calculate GCF of 31,409,498
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10200/1
Therefore the LCM of Fractions 8/31,50/409,51/498 is 10200