Question

69 будет наименьшем общим кратным 85 будет наименьшим общим кратный (желательно фотом)

Answer 1

Пошаговое объяснение:

Разлагаем на множитель потом находим НОК

Answer 2

Finding the Least Common Multiple (LCM) of 69 and 85

To find the least common multiple (LCM) of two numbers, we need to determine the smallest number that is divisible by both of them. In this case, we want to find the LCM of 69 and 85.

To solve this, we can use the prime factorization method. We factorize both numbers into their prime factors and then multiply the highest power of each prime factor.

Let's find the prime factorization of 69 and 85:

- Prime factorization of 69: - 69 is an odd number, so it is not divisible by 2. - Dividing 69 by the smallest prime number, 3, we get 23. - Therefore, the prime factorization of 69 is 3 * 23.

- Prime factorization of 85: - Dividing 85 by the smallest prime number, 5, we get 17. - Therefore, the prime factorization of 85 is 5 * 17.

Now, we can find the LCM by multiplying the highest power of each prime factor:

- The prime factorization of 69 is 3 * 23. - The prime factorization of 85 is 5 * 17.

To find the LCM, we take the highest power of each prime factor:

- The highest power of 3 is 3^1. - The highest power of 5 is 5^1. - The highest power of 17 is 17^1. - The highest power of 23 is 23^1.

Multiplying these highest powers together, we get:

LCM = 3^1 * 5^1 * 17^1 * 23^1

Therefore, the LCM of 69 and 85 is 3 * 5 * 17 * 23.

Unfortunately, I am unable to provide a photo, but I hope this explanation helps!