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 each would you need to buy?
Since, we want equal numbers of crayons and pencils and we have the liberty to buy more thus, we will find LCM. Had the question been to equally distribute the given number of pencils and colours then we would have found the HCF.
To find the required number of pencils and crayons, we need to find the LCM of 24 and 32.
Prime factorisation of 24=2×2×2×3
Prime factorisation of 32=2×2×2×2×2
∴ Required LCM of 24 and 32=2×2×2×2×2×3=96
Thus, number of pencils and crayons needed to be bought is 96 each.