Janna goes to the laundry room in the dorm every 8 days. Kevin goes to the laundry room int th dorm every 10 days. If they meet in the laundry room while doing their laundry, how long will it be before they meet again in the laundry?

40 days

Step-by-step explanation:

Janna goes to the laundry room in the dorm every 8 days. Kevin goes to the laundry room int th dorm every 10 days. If they meet in the laundry room while doing their laundry, it will be 40 days before they meet again in the laundry room.

Factors of 8: 1, 2, 4, and 8

Factors of 10: 1, 2, 5, and 10

GCM of 8 and 10 = 2

LCM = 40

Therefore, it will be 40 days before Janna and Kevin meet again in the laundry room.

40

Step-by-step explanation:

Find the factors of 8 and 10

8=2*2*2

10 = 2*5

We take the greatest number of terms of each factor

2 has 3 as the greatest number

5 has 1

The least common multiple is

2*2*2 * 5 = 40

They will meet again in 40 days