Question

If the product of two numbers is 1512 and HCF is 2. Find the LCM? ​

Answer 1

Step-by-step explanation:

✓✓ The product of two number is = 1512

✓✓ HCF = 2

FORMULA:

✓✓ Products of two number = HCF × LCM

$1512 = 2 \times lcm \\ = > lcm = \frac{1512}{2} = 756$

Answer 2

Given:-

• Product of two numbers = 1512
• HCF = 2

Solution:-

We know,

HCF × LCM = Product of two numbers

= $\sf{2 × LCM = 1512}$

=> $\sf{LCM = \dfrac{1512}{2}}$

=>$\sf{LCM = 756}\:{\sf\boxed{Answer}}$

More information:-

There are some cases where Only One number is given in the question and it is asked to find the other number.

For example:-

Question:- The HCF and LCM of two numbers are 9 and 22338 respectively. If one of the number is 306 then find the other number.

Solution:-

Given:-

• HCF = 9
• LCM = 22338
• 1st number = 306

Now,

We know,

HCF × LCM = 1st number × 2nd number

= $\sf{9 \times 22338 = 306 \times 2nd number}$

= $\sf{\dfrac{9 \times 22338}{306} = 2nd number}$

= $\sf{9 \times 73 = 2nd number}$

= $\sf{2nd number = 657}$

We got to know:-

• HCF × LCM = Product of two numbers
• HCF × LCM = 1st number × 2nd number.