The LCM of two numbers is 2376 while their HCF is 33 .If one of the number is 297,then the other number is

Options

A. 216
B. 264
C. 642
D. 792

Answer

To find the other number when the LCM and HCF of two numbers are given, we can use the relationship between them. The formula we will use is:

\[ \text{Product of two numbers} = \text{LCM} \times \text{HCF} \]

Let's solve the problem step by step.

### Step 1: Write down the known values
- LCM = 2376
- HCF = 33
- One number = 297
- Let the other number be \( x \).

### Step 2: Use the formula
According to the formula mentioned above, we have:

\[ 297 \times x = \text{LCM} \times \text{HCF} \]

Substituting the known values:

\[ 297 \times x = 2376 \times 33 \]

### Step 3: Calculate \( 2376 \times 33 \)
Now we need to calculate \( 2376 \times 33 \):

\[ 2376 \times 33 = 78308 \]

### Step 4: Set up the equation
Now we can set up the equation:

\[ 297 \times x = 78308 \]

### Step 5: Solve for \( x \)
To find \( x \), we divide both sides by 297:

\[ x = \frac{78308}{297} \]

### Step 6: Perform the division
Now we will perform the division:

\[ x = 264 \]

### Conclusion
The other number is \( 264 \).

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