Least Common Multiple of 484/884, 5875/774
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 484/884, 5875/774 quickly i.e. 1421750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 484/884, 5875/774 is 1421750.
LCM(484/884, 5875/774) = 1421750
LCM of 484/884, 5875/774
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 484/884,5875/774
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 484,5875
Least Common Multiple of Numerators i.e. LCM of 484,5875 is 2843500.
GCF of Denominators means GCF of 884,774 as per the given fractions.
GCF of 884,774 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 484,5875
LCM of Fractions 484/884,5875/774 is 1421750
Given numbers has no common factors except 1. So, there LCM is their product i.e 2843500
Least Common Multiple of 484,5875 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 484,5875 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(484,5875) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(484,5875) x common factors =1 x 1 = 1
LCM(484,5875) = ( 484 × 5875 ) / 1
LCM(484,5875) = 2843500 / 1
LCM(484,5875) = 2843500
Lets's calculate GCF of 884,774
| 2 | 884, 774 |
| 442, 387 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2843500/2
Therefore the LCM of Fractions 484/884,5875/774 is 1421750