For every question, four probable answers bearing (A), (B), (C) and (D) given. Only one out of these is correct. You have to choose the correct answer.
LCM of 42, 70, 98 and 126 is

Options

A. 126
B. 2205
C. 4410
D. 8820

Answer

To find the LCM (Least Common Multiple) of the numbers 42, 70, 98, and 126, we can follow these steps:

### Step 1: Prime Factorization
First, we need to find the prime factorization of each number.

- **42**:
- 42 = 2 × 3 × 7
- **70**:
- 70 = 2 × 5 × 7
- **98**:
- 98 = 2 × 7 × 7 = 2 × 7²
- **126**:
- 126 = 2 × 3 × 3 × 7 = 2 × 3² × 7

### Step 2: Identify the Highest Powers of Each Prime Factor
Next, we identify the highest power of each prime factor from the factorizations:

- For **2**, the highest power is \(2^1\) (from all numbers).
- For **3**, the highest power is \(3^2\) (from 126).
- For **5**, the highest power is \(5^1\) (from 70).
- For **7**, the highest power is \(7^2\) (from 98).

### Step 3: Multiply the Highest Powers Together
Now, we multiply these highest powers together to find the LCM:

\[ \text{LCM} = 2^1 \times 3^2 \times 5^1 \times 7^2 \]

Calculating this step-by-step:

1. Calculate \(3^2 = 9\).
2. Calculate \(7^2 = 49\).
3. Now multiply:
- \(2 \times 9 = 18\)
- \(18 \times 5 = 90\)
- \(90 \times 49 = 4410\)

### Final Result
Thus, the LCM of 42, 70, 98, and 126 is **4410**.

### Answer
The correct answer is **(C) 4410**.

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