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Common Multiples and Common Factors

Common Multiples

Suppose a particular section of class 6 has 40 children. They are invited to play a number game
called ‘Chole-bhature’ to develop an understanding of common multiples. Children are made to
sit in a circle.

1
19

17
5

7

13

11

The game begins when the teacher says “Start!”. Now the children sitting in a circle speak the

numbers 1, 2, 3, 4, ... in order. First child says ‘1’, but the second child says ‘Chole’ in place of 2 and
the child whose turn is on multiples of 2 – (4, 6, 8, 10, ...) will also have to say ‘Chole’. When the turn
of 3, 6, 9, … come up they have to say ‘Bhature’ (multiples of 3) instead of numbers. When there is
a number which is the multiple of both 2 and 3, the player should say – ‘Chole-bhature’. If a player
makes any mistake, they are out. The game will continue until one player remains.
Here, chole are the multiples of 2 and bhature are the multiples of 3. For which numbers should
the players say — Chole-bhature?

Multiples of 2 Multiples of 3

56 6 45 9
8
12 51
30 18 15 6 12 18
22 14 24
36 27
32 39

Common Multiples of 2 and 3 24 30 36

141 Prime Time