НОК(5*10,5*15)

To find the least common multiple (LCM) of the numbers 510 and 515, we need to identify the highest power of each prime factor in the two numbers.

First, let's factorize both numbers:

510 = 2 * 5 * 10 515 = 3 * 5 * 15

Now, we can identify the highest power of each prime factor:

• The highest power of 2 is 2^1.
• The highest power of 3 is 3^1.
• The highest power of 5 is 5^1.

Finally, we multiply these powers together to find the LCM:

LCM = 2^1 * 3^1 * 5^1 = 2 * 3 * 5 = 30.

Therefore, the LCM of 510 and 515 is 30.