Question

the HCF of two numbers is 40. If the product of the two numbers is 52800, find their lcm

Answer 1

Answer:

• LCM of two numbers = 1320

Explanation:

Given,

• HCF of two numbers = 40
• Product of two numbers = 52800

To find,

• LCM of two numbers =?

Formula required,

• HCF × LCM = product of two numbers

Calculation,

Using formula

→ HCF × LCM = product of two numbers

→ ( 40 ) × LCM = 52800

→ LCM = 52800 / 40

→ LCM = 1320

Therefore,

• LCM of two numbers would be 1320.

________________________________

• The greatest number which exactly divides each of two given numbers without leaving any remainders, is known as the HCF of two numbers.  

• The least number which can be divided by each of the two given numbers without leaving any remainders, is known LCM of two numbers.

Answer 2

GivEn :-

• The HCF of Two Numbers = 40

• The product of two Numbers = 52800

To FinD :-

• The LCM of two numbers

Formula UseD :-

$\bf{ \pink{HCF \times LCM = Product \: of \: two \: numbers}{} }{}$

SoluTioN :-

We Know that to find product of two of two numbers is LCM x HCF

• HCF x LCM = product of two Numbers.

• 40 x LCM = 52800

• LCM = 52800/40

★ LCM = 1320

$\boxed{ \bf{ \red{Hence \: ★ LCM = 1320}{} }{} }{}$

More To Know :-

• The highest Number which divides the two numbers exactly without leaving a reminder is called HCF of the Number's

• The Lowest Number which can divide the given two numbers exactly without leaving any remainder exept 0 is called LCM of the Number's