Least Common Multiple of 86/126, 7887/3470
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 86/126, 7887/3470 quickly i.e. 339141 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 86/126, 7887/3470 is 339141.
LCM(86/126, 7887/3470) = 339141
LCM of 86/126, 7887/3470
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 86/126,7887/3470
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 86,7887
Least Common Multiple of Numerators i.e. LCM of 86,7887 is 678282.
GCF of Denominators means GCF of 126,3470 as per the given fractions.
GCF of 126,3470 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 86,7887
LCM of Fractions 86/126,7887/3470 is 339141
Given numbers has no common factors except 1. So, there LCM is their product i.e 678282
Least Common Multiple of 86,7887 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 86,7887 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,7887) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(86,7887) x common factors =1 x 1 = 1
LCM(86,7887) = ( 86 × 7887 ) / 1
LCM(86,7887) = 678282 / 1
LCM(86,7887) = 678282
Lets's calculate GCF of 126,3470
| 2 | 126, 3470 |
| 63, 1735 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 678282/2
Therefore the LCM of Fractions 86/126,7887/3470 is 339141