Question

Q20. Given that LCMX HCF = 150. Then product of number is
A. 150
B. 100
C.50
E. any of the above​

Answer 1

Real Numbers

LCM or Least common multiple is the Least number which is exactly divisible by two or more numbers. HCF or Highest common factor is the Highest factor present between two numbers.

$\boxed{\begin{array}{c}\textbf{\dag \ \underline{Result on HCF and LCM of two numbers}}\\\\ (1) \: \rm{HCF \times LCM = product \: of \: the \: two \: given \: numbers.}\\ \\ \textrm{(2) HCF divides LCM completely.}\end{array}}$

In the above question, products of LCM and HCF has been given and we've been asked to find the value of product of other two numbers.

So, let us consider that, $x$ be the product of other numbers. And we know that, the product of LCM and HCF is equal to the product of other numbers. Therefore,

$\implies HCF \times LCM = x\\ \\ \implies \boxed{150 = x}$

Thus, the product of number is 150. So, option (A) is the correct option for this question.

Answer 2

Given :-

Given that LCM X HCF = 150

To Find :-

Their product

Solution :-

We know that

HCF × LCM = 150 (1)

Product of two numbers = HCF × LCM

From 1

Product = 150

Therefore,

Their product is 150

Know More :-

LCM - It is defined as the lowest common multiple or one or pair of numbers.

HCF - It is defined as the highest common factor between two or more number