Question

4. The product of two numbers is 2925 and their HCF is 15. Find the LCM of these number.​

Answer 1

☯GIVEN :

• HCF of the two numbers = 15

• Product of the two numbers = 2925

☯TO FIND :

• LCM of the two numbers.

☯FORMULA REQUIRED :

$\bigstar\underline{\boxed {\pink{\tt {LCM = \dfrac{First\:Number \times Second \:Number}{HCF}}}}}$

➲SOLUTION :

$\to\sf {LCM = \dfrac{First\:number \times Second\: number}{HCF}}$

$\to\sf {LCM = \cancel{\dfrac{ 2925}{15}} }$

$\to \underline{ \boxed{ \red{\bf{LCM = 195}}}}$

$\huge{\pink {\therefore}}$ LCM = 195.

Some Important Formulae :

$\bigstar\boxed{\green {\sf {First \: Number = \dfrac{HCF \times LCM}{Second \: Number}}}}$

$\bigstar\boxed {\green{\sf{HCF = \dfrac{First\:Number \times Second\: Number}{LCM}}}}$

$\bigstar\boxed{\green {\tt {Second\: Number = \dfrac{HCF \times LCM}{First\: Number}}}}$