If H.C.F. of 56 and 98 is 14, then its 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 between H.C.F., L.C.M., and the two numbers. The formula is:

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

Given:
- H.C.F. of 56 and 98 = 14
- The two numbers are 56 and 98

### Step 1: Calculate the product of the two numbers
\[ \text{Product of 56 and 98} = 56 \times 98 \]

Calculating this:
\[ 56 \times 98 = 5488 \]

### Step 2: Use the relationship to find L.C.M.
Using the formula:
\[ \text{L.C.M.} = \frac{\text{Product of the two numbers}}{\text{H.C.F.}} \]

Substituting the values we have:
\[ \text{L.C.M.} = \frac{5488}{14} \]

### Step 3: Perform the division
Now, we will divide 5488 by 14:
\[ \text{L.C.M.} = 392 \]

### Final Answer
Thus, the L.C.M. of 56 and 98 is **392**.

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