Question

if the product of two numbers is 28125 and their HCF is 25 then their LCM is

Answer 1

Heya !!


Product of two numbers = 28125



HCF = 25.



To find : LCM of two numbers = ?



As we know that,


Product of two numbers = HCF × LCM


28125 = 25 × LCM


LCM = 28125/25


LCM = 1125.


Hence,


LCM of two numbers = 1125.

Answer 2

Answer:

Their LCM is 1125.

Step-by-step explanation:

• Lets assume the two numbers are 'x' and 'y'.

        Product of two numbers = xy = 28125

• HCF: The full form of HCF is highest common factor. The HCF is the highest common factor of two numbers.

               Here the HCF of x and y is 25.

• LCM: The full form of LCM is Least Common Multiple. LCM is the minimum possible multiples of the numbers.
• The relation between HCF and LCM is:

                      LCM × HCF = Product of the numbers

                       LCM × 25 = 28125 [Putting the values of HCF and product]

                        LCM = $\frac{28125}{25}$ = 1125

   ∴ Their LCM is 1125.

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