Question

For any two numbers ,HCF x LCM =__________of the numbers.

Answer 1

Answer:

product of two number......

Answer 2

Answer:

The product of the HCF and LCM of any two numbers is equal to the product of that  two numbers.

Hence, For any two numbers ,HCF x LCM =_product__of the numbers.

Step-by-step explanation:

• HCF is the Highest common factor, so it will divide both the number.
• LCM is the smallest common multiple, so it can be divided by both the numbers here.
• Let's say the numbers are 13 and 27 and we're asked to find out the LCM and HCF. If you use the traditional method to find out the HCF by prime factorization, we will find that the HCF is 1.
• Substituting the given values in the equation, we will get the following equation:

13*27=1 y,    where x is our unknown value.

13*27=351, which is equal to the right hand side of the above equation

This means y=351, which is the LCM for our two numbers.

Hence we can write  13*27=1 × y = 1 × 351, Both the values are the same.

So, it is proved that HCF x LCM = product of the numbers.