Question

The HCF of two number is 75 and their LCM is 1500. If one of the number is 300 find the other answer dijiye

Answer 1

Given :

• HCF of two numbers = 75

• LCM of two numbers = 1500

• 1st number = 300

To Find :

• 2nd number

Solution :

We know that

$\large \boxed{\boxed{\sf \green{ LCM \times HCF = 1st \: no. \times2nd \: no.}}}$

Substitute values in formula

$\sf \implies1500 \times 75 = 300 \times 2nd \: no. \\ \\ \sf \implies112500 = 300 \times 2nd \: no. \\ \\ \sf \implies 2nd \: no. = \frac{112500}{300} \\ \\ \large\implies \boxed{ \boxed{ \sf \blue{2nd \: no. = 375}}}$

Answer 2

Given ,

HCF & LCM of two numbers are 75 and 1500 and one of the number is 300

Let , the other number be b

As we know that ,

$\star \: \sf \: LCM(a,b) = \frac{a \times b}{HCF(a,b)}$

Substitute the known values , we get

$\sf \Rightarrow 1500 = \frac{300 \times b}{75} \\ \\ \sf \Rightarrow 5 = \frac{b}{75} \\ \\ \sf \Rightarrow b = 5 \times 75 \\ \\ \sf \Rightarrow b = 375$

$\therefore \sf \bold{ \underline{The \: other \: number \: is \: 375 \: }}$