Question

Saima is organising a conference she’s wants to give each person a pen and a notebook. Pens are sold in packs of 15.Notebooks are sold in packs of 18. Siamabought exactly the same amount of pens and notebooks. What are the smallest number of packs she could have bought?

Answer 1

To find the smallest number of packs Saima could have bought, we find the least common multiple (LCM) of 15 and 18.

Step-by-step explanation:

To find the smallest number of packs Saima could have bought, we need to find the least common multiple (LCM) of 15 and 18.

The prime factorization of 15 is 3 x 5, and the prime factorization of 18 is 2 x 3 x 3.

To find the LCM, we take the highest power of each prime factor that appears in either number. So LCM(15, 18) = 2 x 3 x 3 x 5 = 90.

Therefore, the smallest number of packs Saima could have bought is 90 packs of both pens and notebooks.