Question

Ben exercises every 12 days and Isabel every 8 days. Ben and Isabel both exercised today. How many days will it be until they exercise together again?​

Answer 1

Answer:

24 days

Step-by-step explanation:

The number of LCM will be the number of days until they exercise again.The LCM of 12 & 8 is 24.

Answer 2

It will be 24 days until Ben and Isabel exercise together.

Given: Ben exercises every 12 days and Isabel exercises every 8 days.

To find: Days until they exercise together again.

Step-by-step explanation:

• The Highest/Largest Common Factor (HCF) of two or more given numbers is the highest number that divides each of the supplied numbers without leaving any residue. The Lowest Common Multiple is the smallest of the common multiples of two or more numbers (LCM).  

We will take LCM of 12 and 8.

12 $=2\times2\times3$

8$=2\times2\times2$

∴ LCM of 12 and 8 combined will be: $2\times2\times2\times3=24$

Hence, it will be 24 days until they exercise together.