Finding the НОК of a set of numbers
Thus, your НОК(2, 3, 4, 5, 6, 7, 8, 9, 10) is 2520.
Thus, your НОК(2, 3, 4, 5, 6, 7, 8, 9, 10) is 2520.
Find the Least Common Multiple
Ваше наименшее обшее кпатное для чисел 105 и 84 - это цифра, которая делится без остатка на оба числа. Для этих чисел наименьшее общее кратное - 840.
Ниже я приведу несколько конкретных шагов, как найти это число:
- Для начала необходимо разложить оба числа на простые множители. Для числа 105 это будут числа 3 и 5 (105 = 3 * 5 * 7), а для числа 84 - числа 2 и 7 (84 = 2 * 2 * 3 * 7).
- Затем необходимо выяснить, какие простые множители есть у обоих чисел и сколько раз они встречаются. В нашем случае это будут числа 2, 3 и 7.
- Далее необходимо взять каждый из этих простых множителей в наивысшей степени, в которой он присутствует в числах 105 и 84. Таким образом, мы получим число 2 * 2 * 3 * 5 * 7 = 840, которое будет являться наименьшим общим кратным для чисел 105 и 84.
- Если вам нужно найти наименьшее общее кратное для большего числа чисел, вы можете продолжить этот процесс с каждым новым числом и полученным наименьшим общим кратным.
Надеюсь, эта информация будет полезной и вы легко справитесь с задачей!
Удачи!
Finding the LCM of 40 and 16
To solve this problem, you will need to find the least common multiple of 40 and 16. The least common multiple (LCM) is the smallest positive integer that is divisible by both numbers.
First, let's break down 40 and 16 into their prime factors.
40 = 2 * 2 * 2 * 5
16 = 2 * 2 * 2 * 2
The prime factorization of 40 has two 2s and a 5, while the prime factorization of 16 has four 2s. To find the LCM, we need to take the highest power of each prime factor. In this case, it would be four 2s and one 5.
Therefore, the LCM of 40 and 16 is 2 * 2 * 2 * 2 * 5 = 80.
So 80 is the smallest number that is divisible by both 40 and 16. Mission accomplished!
НОК of 90,546,273
To calculate the НОК, we first need to find the prime factorization of the given numbers:
90 = 2 * 3 * 3 * 5
546 = 2 * 3 * 7 * 13
273 = 3 * 7 * 13
Then, we need to determine the highest power of each prime number that appears in any of the factorizations. In this case, the highest powers are:
2: 1
3: 2
5: 1
7: 1
13: 1
Finally, we multiply all the numbers with their corresponding powers to get the prime factorization of the НОК:
2 * 3^2 * 5 * 7 * 13 = 273. Therefore, the НОК of 90,546,273 is 273.
Tip: Remember to always divide out the common prime factors when finding the НОК.
Happy calculating!
Finding the Least Common Multiple (LCM) of 270 and 450
How to Find the Least Common Multiple (LCM) of 270 and 450?
The LCM of two numbers is the smallest positive number that is divisible by both of them. In order to find the LCM of 270 and 450, we need to follow these steps:
- Write out the prime factorization of each number. Prime factorization means to break down a number into its prime factors. In this case, we have:
- 270 = 2 x 3 x 3 x 3 x 5
- 450 = 2 x 3 x 3 x 5 x 5
- Identify the common prime factors and their highest powers. In this case, we have 2, 3 and 5 with the highest powers being 1, 3 and 3 respectively.
- Multiply the highest powers of the common prime factors. In this case, we have (2^1)(3^3)(5^3) = 2 x 27 x 125 = 6750. Therefore, 6750 is the LCM of 270 and 450.
- Check if 6750 is divisible by both 270 and 450. In this case, 6750 is indeed divisible by both numbers, confirming our answer.
Therefore, the LCM of 270 and 450 is 6750. Hope this explanation was helpful!
