Question

If HCF (143, 440) = 11, then what is the LCM (143, 440)​

Answer 1

Given:

HCF (143, 440) = 11

We have to find, the LCM (143, 440)​ = ?

Solution:

We know that:

LCM × HCF = Product of two numbers

∴ LCM × HCF = 143 × 440

⇒  LCM × 11 = 143 × 440

⇒ LCM = $\dfrac{143\times 440}{11}$

⇒ LCM = 143 × 40

⇒ LCM = 5720

∴ LCM (143, 440)​ = 5720

Thus, the LCM (143, 440)​ is "equal to 5720".

Answer 2

Given:

HCF (143, 440) = 11

To find:

LCM (143, 440)​

Solution:

As we have given the HCF (143, 440) = 11

in which the numbers are 143 and 440

and as per the rule of the LCM and HCF of two numbers, the product of the two numbers is equal to the product or their LCM and HCF.

LCM × HCF = Product of two numbers

LCM × HCF = 143 × 440

LCM × 11 = 143 × 440

LCM = 143 × 440 /11

LCM = 143 × 40

LCM = 5720

LCM (143, 440)​ = 5720

So, the LCM (143, 440)​ is 5720