🌍 Where You'll See This in Real Life
1
Tiling floors with same-size tiles
2
Scheduling
when do two events repeat together
Bus A runs every 12 minutes, Bus B every 18 minutes. They meet at the depot every LCM(12,18) = 36 minutes — basis of all timetables.
3
Music
rhythmic patterns synchronising
A polyrhythm of 3-against-4 resolves every LCM(3,4) = 12 beats. African drumming and Indian tala traditions weaponise this cycle.
4
Gears
tooth count for ratios
Two interlocking gears with 8 and 12 teeth realign every LCM(8,12) = 24 teeth — central to clockwork and bicycle mechanics.
5
Time-and-work problems (LCM method)
6
Reducing fractions (divide by HCF)