Question

If the hcf of two numbers is 12 and product is 12096 find the lcm

Answer 1

Answer:

hcf x lcm = product of numbers

12 x lcm = 12096

lcm = 1008

Hope it's helpful

Answer 2

Answer

• The L.C.M is 1008.

Step-by-step explanation:

To Find :-

• The L.C.M

★ Solution

Given that,

• The H.C.F of two numbers = 12
• Product of two numbers = 12096

Assumption

Let us assume the L.C.M as (x),

We know,

L.C.M × H.C.F = Product of two numbers

Therefore,

⇒ L.C.M × H.C.F = Product of two numbers

⇒ x × 12 = 12096

⇒ 12x = 12096

⇒ x = 12096/12

⇒ x = 1008

The value of x is 1008.

We got the value of x as 1008,

∴ L.C.M = 1008

V E R I F I C A T I O N :-

• x × 12 = 12096

By putting the value of x in L.H.S :-

⇒ x × 12

⇒ 1008 × 12

⇒ 12096

Now, L.H.S = R.H.S = 12096

Hence, Verified!