Question

The L.C.M. and H.C.F. of two numbers are 180 and 6 respectively. If one of the numbers is
36, find the other number.​

Answer 1

$\huge{\mathfrak{\overline{\underline{\underline{\blue{Answer}}}}}}$

$\huge\bold{Given}$

$\mathbb\pink{LCM \:( \:Lowest \:common \:value) = 180}$

$\mathbb\pink{HCF \:( \:Highest \:common \:value) = 6}$

$\mathbb\blue{\:Fîrst \:Number = 36}$

$\huge\bold{To \:find }$

We have to find second number = ?¿

So let's second number be = X

We know the formula :

${\green{\overline{\green{\underline{\blue{\boxed{\purple{\mathtt{LCM × HCF = \:Product \:of \:two \:numbers}}}}}}}}}$

☞︎︎︎ $\mathtt\orange{180 × 6 = 30 × X}$

☞︎︎︎ $\mathtt\orange{1080 = 30 × X}$

☞︎︎︎ $\mathtt\orange{\frac{1080}{30} = x}$

☞︎︎︎ $\mathtt\orange{\cancel\frac{1080}{30} = x}$

☞︎︎︎ $\mathtt\orange{36 = x}$

$\huge\bf\boxed{\boxed{\underline{\red{Other \:Number = 36}}}}$