Least Common Multiple of 548/494, 4695/628
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 548/494, 4695/628 quickly i.e. 1286430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 548/494, 4695/628 is 1286430.
LCM(548/494, 4695/628) = 1286430
LCM of 548/494, 4695/628
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 548/494,4695/628
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 548,4695
Least Common Multiple of Numerators i.e. LCM of 548,4695 is 2572860.
GCF of Denominators means GCF of 494,628 as per the given fractions.
GCF of 494,628 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 548,4695
LCM of Fractions 548/494,4695/628 is 1286430
Given numbers has no common factors except 1. So, there LCM is their product i.e 2572860
Least Common Multiple of 548,4695 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 548,4695 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(548,4695) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(548,4695) x common factors =1 x 1 = 1
LCM(548,4695) = ( 548 × 4695 ) / 1
LCM(548,4695) = 2572860 / 1
LCM(548,4695) = 2572860
Lets's calculate GCF of 494,628
| 2 | 494, 628 |
| 247, 314 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2572860/2
Therefore the LCM of Fractions 548/494,4695/628 is 1286430