Question

Find the HCF and LCM of 480, 123, 380 .​

Answer 1

Answer:

HCF = 1, LCM = 373920

Step-by-step explanation:

HCF (Highest Common Factor):

Prime Factors for 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factors for 123 are 3 x 41

Prime Factors for 380 are 2 x 2 x 5 x 19

∵ HCF for 480, 123, 380 numbers is $1$.

LCM (Lowest Common Multiple):

Since we have calculated the HCF of the 3 numbers we can simply calculate the LCM by the following formula:

$LCM (n1, n2, n3) = \frac{n1 * n2 * n3}{HCF (n1, n2, n3)}$

So, y using the formula =

⇒ $LCM (480, 123, 380) = \frac{480*123*380}{HCF (480, 123, 380)}$

⇒ $LCM (480, 123, 380) = 373920$

∵ LCM of 480, 123, 380 numbers is $373920$.