Question

The product of two numbers is 15625 and their HCF is 125. Find the LCM of these numbers.

Answer 1

Answer:

refer the attachment above.Hope it helps u.

Answer 2

$\rm \underline{\red{G}\orange{i}\pink{v}\purple{e}\green{n}}$

• The product of two numbers is 15625
• Their HCF is 125

$\rm \underline{\underline{To\ be\ found}}$

LCM of the numbers.

$\boxed{\mathbb{ SOLUTION}}$

Let one number be $\boxed{\red{a}}$ and another number be $\boxed{\red{b}}$

So,

According to the question,

Product of two numbers = ab = 15625

HCF(a,b) = 125

Now,

We know that

$\boxed{\bf Product\ of\ two\ numbers = HCF \times LCM}$

→ 15625 = 125 × LCM

→ 15625 ÷ 125 = LCM

→ 125 = LCM

Hence,

The LCM is 125

.

Verification

Product of two numbers = HCF × LCM

→ HCF × LCM

= 125 × 125

= 15625 = product of two number (given )

So,

RHS = LHS

Hence, verified