Question

1)
If product of two numbers is
1675 and HCF is 25. Find lcm
and that numbers
​

Answer 1

Step-by-step explanation:

Product of two numbers = Product of their HCF and LCM

This means that if first number = a, and second number = b, then,

a X b = (HCF of a and b) X (LCM of a and b)

Now, in this question,

a X b = 1675

HCF of a and b = 25

Let LCM of a and b be = x

a X b = (HCF of a and b) X (LCM of a and b)

$a \times b = 25 \times x$

$1675 = 25 \times x$

$\frac{1675}{25} = x$

$x = \frac{1675}{25}$

$x = 67$

Therefore, LCM of a and b = 67