Question

Помогите решить НОК(10 И 3) НОК(7 И 3) НОК(5 И 15)

Answer 1

НОК (10 и 3) 3*2*5=30 НОК (7 и 3) 3*7=21 НОК (5 и 15) 5*3=15

Answer 2

Calculation of the Least Common Multiple (LCM)

To find the least common multiple (LCM) of the given numbers, we can use the prime factorization method or the method of finding the LCM of two numbers at a time.

Let's calculate the LCM step by step:

1. LCM(10, 3): - The prime factorization of 10 is 2 * 5. - The prime factorization of 3 is 3. - The LCM of 10 and 3 is the product of the highest powers of all prime factors involved, which is 2 * 5 * 3 = 30.

2. LCM(7, 3): - The prime factorization of 7 is 7. - The prime factorization of 3 is 3. - The LCM of 7 and 3 is the product of the highest powers of all prime factors involved, which is 7 * 3 = 21.

3. LCM(5, 15): - The prime factorization of 5 is 5. - The prime factorization of 15 is 3 * 5. - The LCM of 5 and 15 is the product of the highest powers of all prime factors involved, which is 3 * 5 = 15.

Therefore, the LCM(10 and 3, 7 and 3, 5 and 15) is 30, 21, and 15, respectively.

Answer: The LCM(10 and 3, 7 and 3, 5 and 15) is 30, 21, and 15 respectively.