Question

The H.C.F and L.C.M of two numbers
are 6 and 66, then the product of two
numbers is​

Answer 1

Given

HCF of two numbers = 6

LCM of two numbers = 66

To find

Product of two numbers

Solution

Here, HCF & LCM are given as 6 & 66.

We know that,

➥ LCM × HCF = Product of numbers

Putting values we get :

➝ Product of numbers = 6 × 66

➝ Product of numbers = 396

Therefore,

Product of two numbers = 396

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Additional informations :

➙ Full form of HCF is Highest Common Factor .It is also called as GCF (Greatest Common Factor .

➙ Full form of LCM is Least Common Multiple .

➙ If two numbers are given i.e. a & b,then HCF of a, b × LCM of a,b = a × b

Answer 2

Given :

• HCF = 6.
• LCM = 66.

To Find :

Product of two number.

Solution :

We have,

The value of HCF and LCM, 6 and 66 respectively.

$\tt\dagger \: \: \: HCF \times LCM =Product \: of \: two \: number.$

Putting given value in it.

$\tt\longmapsto6 \times 66 = Product \: of \: two \: number.$

$\tt\longmapsto396 = Product \: of \: two \: number.$

Therefore, the product of two number be 396.

$\rule{120}1$

Some information :

• HCF => Highest Common factor.
• LCM => Least common multiple.