Question

Renda cuts her grass every days and trims her shrubs every days. if brenda cut her grass and trimmed her shrubs on june​ 1, how many days will it be before she cuts her grass and trims her shrubs on the same day​ again? question content area bottom part 1 it will be enter your response here days before brenda cuts her grass and trims her shrubs on the same day again.

Answer 1

To find the number of days it will be before Brenda cuts her grass and trims her shrubs on the same day again, we need to find the least common multiple (LCM) of the two numbers representing the number of days she cuts her grass and trims her shrubs.

Step-by-step explanation:

To find the number of days it will be before Brenda cuts her grass and trims her shrubs on the same day again, we need to find the least common multiple (LCM) of the two numbers representing the number of days she cuts her grass and trims her shrubs. Let's say she cuts her grass every x days and trims her shrubs every y days. The LCM of x and y will give us the number of days it will be before she cuts her grass and trims her shrubs on the same day again.

For example, if Brenda cuts her grass every 3 days and trims her shrubs every 4 days, we need to find the LCM of 3 and 4.

The prime factorization of 3 is 3, and the prime factorization of 4 is 2 * 2. To find the LCM, we take the highest power of each prime factor that appears in either factorization. So the LCM of 3 and 4 is 2 * 2 * 3 = 12.

Therefore, in this example, it will be 12 days before Brenda cuts her grass and trims her shrubs on the same day again.