If H.C.F. of 124 and 148 is 4, then their L.C.M. is :

Options

A. 1147
B. 18352
C. 4588
D. None of these

Answer

To find the L.C.M. (Least Common Multiple) of the numbers 124 and 148 given that their H.C.F. (Highest Common Factor) is 4, we can use the relationship between H.C.F., L.C.M., and the two numbers.

### Step-by-Step Solution:

1. **Identify the numbers and their H.C.F.**
Let A = 124 and B = 148.
Given H.C.F. (A, B) = 4.

2. **Use the relationship between H.C.F. and L.C.M.**
The relationship is given by the formula:
\[ A \times B = \text{H.C.F.} \times \text{L.C.M.} \]

3. **Substitute the known values into the formula.**
\[ 124 \times 148 = 4 \times \text{L.C.M.} \]

4. **Calculate the product of A and B.**
First, calculate \( 124 \times 148 \):
\[ 124 \times 148 = 18352 \]

5. **Set up the equation to find L.C.M.**
Now we can substitute this value back into the equation:
\[ 18352 = 4 \times \text{L.C.M.} \]

6. **Solve for L.C.M.**
To find L.C.M., divide both sides by 4:
\[ \text{L.C.M.} = \frac{18352}{4} = 4588 \]

### Final Answer:
The L.C.M. of 124 and 148 is **4588**.

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