Item Time bought
MIcroscopes Every 5 years
Safety goggles Every 4 years
Test Tube Every 2 years
It would take 20 years for them to buy these three items at the same time.
We simply need to find the LCM or least common multiple of the 3 items using the number of years.
Microscopes - 5 years → 5, 10, 15, 20
Goggles - 4 years → 4, 8, 12, 16, 20
Test tubes - 2 years → 2, 4, 6, 8, 10, 12, 14, 16, 18, 20