Least Common Multiple of 123/566, 2692/5746
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 123/566, 2692/5746 quickly i.e. 165558 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 123/566, 2692/5746 is 165558.
LCM(123/566, 2692/5746) = 165558
LCM of 123/566, 2692/5746
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 123/566,2692/5746
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 123,2692
Least Common Multiple of Numerators i.e. LCM of 123,2692 is 331116.
GCF of Denominators means GCF of 566,5746 as per the given fractions.
GCF of 566,5746 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 123,2692
LCM of Fractions 123/566,2692/5746 is 165558
Given numbers has no common factors except 1. So, there LCM is their product i.e 331116
Least Common Multiple of 123,2692 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 123,2692 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,2692) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(123,2692) x common factors =1 x 1 = 1
LCM(123,2692) = ( 123 × 2692 ) / 1
LCM(123,2692) = 331116 / 1
LCM(123,2692) = 331116
Lets's calculate GCF of 566,5746
| 2 | 566, 5746 |
| 283, 2873 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 331116/2
Therefore the LCM of Fractions 123/566,2692/5746 is 165558