Question

The lcm of two number is 864 and their hcf is 72 one of the number is 288 what is the other number

Answer 1

Your Answer :

Given :

LCM of the two numbers = 864

HCF of the two numbers = 72

One of the number = 288

Required to find :

1. Other number

Solution :

To Solve this problems we should know about what is HCF , LCM and Relation between HCF and LCM

so,

LCM stands for ?

LCM stands for the Least Common factor .

It is the least common multiple of the given two or more numbers.

HCF stands for ?

HCF stands for the Highest Common factor .

It is the common factor which is shared between two numbers.

Relation between LCM and HCF

We know that ,

Product of any given number = LCM x HCF

So, now using this above hints we are going to solve this problem.

Now, coming to the question

In the question he had clearly mentioned that the LCM of two numbers is 864 and their HCF is 72 .

Hence , multiply this LCM and HCF which is equal to the product of two numbers.

Then,

864 x 72 = product of two numbers

62,208 = product of two numbers.

But in the above question they gave that one of the number is 288

So ,

Let the other numbers be " x "

then,

288 x X = product of LCM and HCF

288x = 62,208

x = 62208/288

x = 216

Therefore,

Other number = x = 216