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In the first year of a large school, it is possible to divide the pupils into equal size
classes of either 24, 28 or 32.
in this first year group

Respuesta :

Using the least common factor, it is found that there are 672 pupils.

  • The pupils can be divided into classes of either 24, 28 or 32 students, so the total number of pupils is the least common multiple(lcm) of these values.
  • To find the lcm, we factor the numbers by prime factors, and then multiply these factors.

The factorization is:

24 - 28 - 32|2

12 - 14 - 16|2

6 - 7 - 8|2

3 - 7 - 4|2

3 - 7 - 2|2

3 - 7 - 1|3

1 - 7 - 1|7

1 - 1 - 1

[tex]\text{lcm}(24,28,32) = 2^5 \times 3 \times 7 = 32 \times 21 = 672[/tex]

There are 672 pupils.

A similar problem is given at https://brainly.com/question/21329937

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