Basic 5Mathematics20 min

HCF and LCM Factor Venn

A class compares drumbeat patterns and shared rehearsal days using factors and multiples.

Find the shared beat and the next meeting day.

Two music groups clap every 36 beats and 48 beats. Use prime factor tiles to find what they share and when both patterns meet.

HCF and LCM Factor Venn illustration

A class compares drumbeat patterns and shared rehearsal days using factors and multiples.

Find HCF and LCM of 36 and 48.

  1. 36 = 2 x 2 x 3 x 3 and 48 = 2 x 2 x 2 x 2 x 3.
  2. The common factors give HCF 12; all needed prime factors give LCM 144.