Question

НОК(20и35). (75и90). (6и13)скажите ответы

Answer 1

НОК (20;35)=140

НОК (75;90)=450

НОК (6;13)=78

Answer 2

20=2*2*5

30=3*2*5

НОК=60

75=5*5*3

90=5*2*3*3

НОК=270

6=2*3

13=13

НОК=42

Answer 3

To find the least common multiple (LCM) of the given numbers, we can use the following steps:

1. Prime factorization: Express each number as a product of its prime factors.
2. Identify the common and uncommon prime factors.
3. Multiply the common and uncommon prime factors to get the LCM.

Let's calculate the LCM for the three sets of numbers:

1. LCM(20, 35): Prime factorization of 20: 2^2 * 5 Prime factorization of 35: 5 * 7

Common prime factors: 5 Uncommon prime factors: 2^2, 7

LCM(20, 35) = 2^2 * 5 * 7 = 140

2. LCM(75, 90): Prime factorization of 75: 3 * 5^2 Prime factorization of 90: 2 * 3^2 * 5

Common prime factors: 3, 5 Uncommon prime factors: 2, 5^2

LCM(75, 90) = 2 * 3^2 * 5^2 = 450

3. LCM(6, 13): Prime factorization of 6: 2 * 3 Prime factorization of 13: 13

Common prime factors: None (They don't share any common prime factors.) Uncommon prime factors: 2, 3, 13

LCM(6, 13) = 2 * 3 * 13 = 78

So, the answers are:

1. LCM(20, 35) = 140
2. LCM(75, 90) = 450
3. LCM(6, 13) = 78