Question

if $HCF(a,b)=15$ and $LCM(a,b)=1800$ and $a=30$ then find $b$

Answer 1

Solution:-

As we know that,

HCF of two numbers $\times$ LCM of two numbers = a $\times$ b

$\therefore HCF(a,b)\times LCM(a,b)=a\times b$

Given that:-

$HCF(a,b)=15$

$LCM(a,b)=1800$

$a=30$

$b=?$

$\therefore 15\times 1800=30\times b$

$\Rightarrow b=\frac{15\times 1800}{30}$

$\Rightarrow b=15\times 60$

$\Rightarrow b=900$