Least Common Multiple of 55/390, 14/668
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/390, 14/668 quickly i.e. 385 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/390, 14/668 is 385.
LCM(55/390, 14/668) = 385
LCM of 55/390, 14/668
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/390,14/668
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 55,14
Least Common Multiple of Numerators i.e. LCM of 55,14 is 770.
GCF of Denominators means GCF of 390,668 as per the given fractions.
GCF of 390,668 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,14
LCM of Fractions 55/390,14/668 is 385
Given numbers has no common factors except 1. So, there LCM is their product i.e 770
Least Common Multiple of 55,14 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 55,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,14) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,14) x common factors =1 x 1 = 1
LCM(55,14) = ( 55 × 14 ) / 1
LCM(55,14) = 770 / 1
LCM(55,14) = 770
Lets's calculate GCF of 390,668
| 2 | 390, 668 |
| 195, 334 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 770/2
Therefore the LCM of Fractions 55/390,14/668 is 385