Question

НОК(7, 28, 2, 42, 70, 14)

Answer 1

Числу 7 кратны числа - 14, 28, 42, 70;
Числу 2 кратны числа - 14, 28, 42, 70, тогда:
НОК (2, 7) = 2 * 7 = 14.
Ответ: НОК (2, 7) = 14.

Answer 2

To find the least common multiple (LCM) of the given numbers, you can follow these steps:

Step 1: Find the prime factorization of each number. 7 = 7 28 = 2^2 × 7 2 = 2 42 = 2 × 3 × 7 70 = 2 × 5 × 7 14 = 2 × 7

Step 2: Identify the highest power of each prime factor that appears in any of the factorizations. The highest power of 2 is 2^2. The highest power of 3 is 3. The highest power of 5 is 5. The highest power of 7 is 7.

Step 3: Multiply all the prime factors from Step 2 together to find the LCM. LCM = 2^2 × 3 × 5 × 7 LCM = 4 × 3 × 5 × 7 LCM = 420

Therefore, the least common multiple (LCM) of 7, 28, 2, 42, 70, and 14 is 420.