Question

Нок(а ,б),если а=2×2×2×3×5×7;b=2×2×3×5×5×7

Answer 1

Ответ:

а=840

б=2 100

Нок(840,2 100)=840•2 100=17 640

Answer 2

To find the least common multiple (LCM) of two numbers, we need to identify the highest power of each prime factor that appears in either number and multiply them together.

Let's calculate the LCM of a = 2 × 2 × 2 × 3 × 5 × 7 and b = 2 × 2 × 3 × 5 × 5 × 7.

Prime factorization of a: a = 2 × 2 × 2 × 3 × 5 × 7

Prime factorization of b: b = 2 × 2 × 3 × 5 × 5 × 7

To find the LCM, we take the highest power of each prime factor that appears in either number:

Prime factorization of the LCM: LCM = 2^3 × 3 × 5^2 × 7

Therefore, the LCM of a and b is 2^3 × 3 × 5^2 × 7, which can be simplified as follows:

LCM = 8 × 3 × 25 × 7 LCM = 4,200

So, LCM(a, b) = 4,200.