Question

The product of two numbers is 425 and their HCF is 17. Find their LCM​

Answer 1

Step-by-step explanation:

here is the answer =>LCM=425/HCF

=>LCM=425/17=25

this is the correct answer

Answer 2

Given :–

• The product of two numbers = 425.
• Highest common factor (H.C.F.) = 17.

To Find :–

• Least common multiple (L.C.M.)

Solution :–

Let,

The lease common multiple (L.C.M.) be x.

We know that,

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

Here,

• H.C.F. = 17
• Product of two number = 425.

So,

$\rightarrow17 \times x = 425$

$\rightarrow17x = 425$

$\rightarrow x = \cancel{\dfrac{425}{17} }$

$\rightarrow x = 25$

Hence,

The least common multiple (L.C.M.) is 25.

Verification :–

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

• H.C.F. = 17.
• L.C.M. = 25.
• Product of two numbers = 425.

$\rightarrow 17 \times 25 = 425$

$\rightarrow425 = 425$

Hence Verified !!