Question

Miley and Cole ended up making the same number of biscuits for a bake sale at school, even though Miley made them in batches of 7 biscuits and Cole made them in batches of 11 biscuits . What is the smallest number of biscuits each must have baked?

Answer 1

Answer: $77\ biscuits$

Step-by-step explanation:

For this exercise you need to find the Least Common Multiple (LCM).

The steps two find the Least Common Multiple are shown below:

1. Descompose the numbers into their prime factors.

2. Multiply the commons an non commons with the highest exponent. The product obtained will be the Least Common Multiple.

Knowing this, you can find the Least Common Multiple between 7 and 11. This is:

$7=7\\11=11\\\\LCM=7*11\\\\LCM=77$

Therefore the smallest number of biscuits each must have baked is:  $77\ biscuits$