If H.C.F. of 96 and 404 is 4, then their L.C.M.

Answer

To find the L.C.M. (Least Common Multiple) of two numbers when the H.C.F. (Highest Common Factor) is known, we can use the relationship:

\[ \text{L.C.M.} \times \text{H.C.F.} = \text{Product of the two numbers} \]

Given:
- H.C.F. of 96 and 404 = 4
- The two numbers are 96 and 404.

### Step 1: Calculate the product of the two numbers
First, we need to calculate the product of 96 and 404.

\[ \text{Product} = 96 \times 404 \]

Calculating this gives:

\[ 96 \times 404 = 38784 \]

### Step 2: Use the relationship to find L.C.M.
Now, we can use the relationship mentioned above to find the L.C.M.

\[ \text{L.C.M.} = \frac{\text{Product of the two numbers}}{\text{H.C.F.}} \]

Substituting the values we have:

\[ \text{L.C.M.} = \frac{38784}{4} \]

Calculating this gives:

\[ \text{L.C.M.} = 9696 \]

### Final Answer
Thus, the L.C.M. of 96 and 404 is **9696**.

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