Question

Как найти НОК чисел 48 и120

Answer 1

нок(48;120)=2*2*2*3*5=120*2=240
48:2        120:2
24:2          60:2
12:2          30:2
6:2            15:3
3:3              5:5
1                  1

Answer 2

Finding the LCM of 48 and 120

To find the least common multiple (LCM) of 48 and 120, we can use various methods such as prime factorization, listing multiples, or using the method of division. Let's explore the prime factorization method.

Prime Factorization Method:

The prime factorization of a number involves breaking it down into its prime factors.

First, let's find the prime factorization of 48 and 120.

For 48: 48 = 2 * 2 * 2 * 2 * 3 = 2^4 * 3

For 120: 120 = 2 * 2 * 2 * 3 * 5 = 2^3 * 3 * 5

Now, to find the LCM, we take the highest power of each prime factor that appears in the factorization of either number.

So, LCM(48, 120) = 2^4 * 3 * 5 = 240

Therefore, the LCM of 48 and 120 is 240.

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