Question

Нок=2³•3•5²=? Нок=2⁵•3³•5=? Нок=2³•5²•5•7=? ​

Answer 1

Ответ:

Наименьшее общее кратное равно

Пошаговое объяснение:

1) 600

2) 4320

3) 7000

Answer 2

It looks like you're trying to find the least common multiple (LCM) of different sets of numbers. The least common multiple is the smallest multiple that is evenly divisible by all the given numbers. Let's solve each of these:

1. LCM of 2³ • 3 • 5²: Prime factorization:

   • $2³ = 2 * 2 * 2$
   • $3 = 3$
   • $5² = 5 * 5$

   To find the LCM, we need to consider the highest powers of all prime factors present: LCM = $2³ * 3 * 5² = 8 * 3 * 25 = 600$

2. LCM of 2⁵ • 3³ • 5: Prime factorization:

   • $2⁵ = 2 * 2 * 2 * 2 * 2$
   • $3³ = 3 * 3 * 3$
   • $5 = 5$

   LCM = $2⁵ * 3³ * 5 = 32 * 27 * 5 = 4320$

3. LCM of 2³ • 5² • 5 • 7: Prime factorization:

   • $2³ = 2 * 2 * 2$
   • $5² = 5 * 5$
   • $5 = 5$
   • $7 = 7$

   LCM = $2³ * 5² * 5 * 7 = 8 * 25 * 5 * 7 = 7000$

So, the results are:

• LCM of $2³ • 3 • 5²$ is 600
• LCM of $2⁵ • 3³ • 5$ is 4320
• LCM of $2³ • 5² • 5 • 7$ is 7000