Least Common Multiple of 34/655, 80/377
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 34/655, 80/377 quickly i.e. 1360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 34/655, 80/377 is 1360.
LCM(34/655, 80/377) = 1360
LCM of 34/655, 80/377
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 34/655,80/377
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 34,80
Least Common Multiple of Numerators i.e. LCM of 34,80 is 1360.
GCF of Denominators means GCF of 655,377 as per the given fractions.
GCF of 655,377 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 34,80
LCM of Fractions 34/655,80/377 is 1360
| 2 | 34, 80 |
| 17, 40 |
∴ So the LCM of the given numbers is 2 x 17 x 40 = 1360
Least Common Multiple of 34,80 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 34,80 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,80) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(34,80) x common factors =2 x 1 = 2
LCM(34,80) = ( 34 × 80 ) / 2
LCM(34,80) = 2720 / 2
LCM(34,80) = 1360
Lets's calculate GCF of 655,377
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1360/1
Therefore the LCM of Fractions 34/655,80/377 is 1360