Least Common Multiple of 980/785, 1647/561
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 980/785, 1647/561 quickly i.e. 1614060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 980/785, 1647/561 is 1614060.
LCM(980/785, 1647/561) = 1614060
LCM of 980/785, 1647/561
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 980/785,1647/561
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 980,1647
Least Common Multiple of Numerators i.e. LCM of 980,1647 is 1614060.
GCF of Denominators means GCF of 785,561 as per the given fractions.
GCF of 785,561 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 980,1647
LCM of Fractions 980/785,1647/561 is 1614060
Given numbers has no common factors except 1. So, there LCM is their product i.e 1614060
Least Common Multiple of 980,1647 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 980,1647 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(980,1647) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(980,1647) x common factors =1 x 1 = 1
LCM(980,1647) = ( 980 × 1647 ) / 1
LCM(980,1647) = 1614060 / 1
LCM(980,1647) = 1614060
Lets's calculate GCF of 785,561
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1614060/1
Therefore the LCM of Fractions 980/785,1647/561 is 1614060