Question

the hcf of two numbers is 48. the product of the numbers is
1. 3200
2.2400
3.48
4.4608
5. none of these

Answer 1

3 is ur answer..................

Answer 2

4,608 (Option 4) is the Answer

Step-by-step explanation:

• The product of the two numbers is 4,608.  

To solve this problem you first have to find the LCM.  

• We are given that the HCF of two numbers is 48.

This means that the LCM must contain ALL of the factors of 48.  

• Finding the Prime Factors of 48, one gets $2 \times 2 \times 2 \times 2 \times 3\ or\ 2^4 \times 3.$

This means that the LCM is larger than 48 so try $48 \times 2=96.$  

• The Prime Factors are $2^5 \times 3$

Therefore the LCM is 96 and the product of $48 \times 96$ = 4,608.