Question

НОК 99 и 100НОК 28 и 21НОК 24 и 23​

Answer 1

Ответ:на фото

Пошаговое объяснение:

Answer 2

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

Step 1: Find the prime factors of each number. Step 2: Identify the highest power of each prime factor that appears in any of the numbers. Step 3: Multiply the identified prime factors together to get the LCM.

Let's find the LCM for the given numbers:

1. LCM(99, 100):

Prime factors of 99: 3 * 3 * 11 Prime factors of 100: 2 * 2 * 5 * 5

The highest power of each prime factor:

• 3^2 (appears in 99)
• 2^2 (appears in 100)
• 5^2 (appears in 100)
• 11^1 (appears in 99)

LCM(99, 100) = 3^2 * 2^2 * 5^2 * 11^1 = 39600

2. LCM(28, 21):

Prime factors of 28: 2 * 2 * 7 Prime factors of 21: 3 * 7

The highest power of each prime factor:

• 2^2 (appears in 28)
• 3^1 (appears in 21)
• 7^1 (appears in both 28 and 21)

LCM(28, 21) = 2^2 * 3^1 * 7^1 = 84

3. LCM(24, 23):

Prime factors of 24: 2 * 2 * 2 * 3 Prime factors of 23: 23

The highest power of each prime factor:

• 2^3 (appears in 24)
• 3^1 (appears in 24)
• 23^1 (appears in 23)

LCM(24, 23) = 2^3 * 3^1 * 23^1 = 1104

So, the LCMs are:

• LCM(99, 100) = 39600
• LCM(28, 21) = 84
• LCM(24, 23) = 1104