Least Common Multiple of 639/674, 6766/6688
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 639/674, 6766/6688 quickly i.e. 2161737 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 639/674, 6766/6688 is 2161737.
LCM(639/674, 6766/6688) = 2161737
LCM of 639/674, 6766/6688
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 639/674,6766/6688
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 639,6766
Least Common Multiple of Numerators i.e. LCM of 639,6766 is 4323474.
GCF of Denominators means GCF of 674,6688 as per the given fractions.
GCF of 674,6688 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 639,6766
LCM of Fractions 639/674,6766/6688 is 2161737
Given numbers has no common factors except 1. So, there LCM is their product i.e 4323474
Least Common Multiple of 639,6766 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 639,6766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(639,6766) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(639,6766) x common factors =1 x 1 = 1
LCM(639,6766) = ( 639 × 6766 ) / 1
LCM(639,6766) = 4323474 / 1
LCM(639,6766) = 4323474
Lets's calculate GCF of 674,6688
| 2 | 674, 6688 |
| 337, 3344 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4323474/2
Therefore the LCM of Fractions 639/674,6766/6688 is 2161737