During a sale, colour pencils were being sold in packs of 24 each and crayons in packs of 32 each. If you want full packs of both and the same number of pencils and crayons, how many of each would you need to buy?
For having the full packs of both and the same number of pencils and crayons, we need to find LCM of 24 and 32
Prime factors of 24 = 2 × 2 × 2 × 3
Prime factors of 32 = 2 × 2 × 2 × 2 × 2
Therefore LCM of 24 and 32 is: 2 × 2 × 2 × 2 × 2 × 3 = 96
Number of colour pencil packs = 
= 4
Number of crayons packs = 
= 3
Hence 4 packets of colour pencils and 3 packets of crayons would be bought.
15