What is the Least Common Multiple of all even numbers between 5 and 13?
1. 120
2. 90
3. 180
4. 60
Answers
Answer:
4
Step-by-step explanation:
You don’t have to do too much math to find the LCM, but you do have to understand the definition. The least common multiple is the smallest number that has both of the numbers as factors. These must be consecutive even numbers between 5 and 15, so this limits the field to 6, 8, 10, 12, or 14. you can do them all, if you wish, but I’m just going to list the consecutive even numbers that work.
the multiples of 10, and 12
10, 20, 30, 40, 50, 60, 70, … and 12, 24, 36, 48, 60, 72…. 60 is a match, and therefore 10 and 12 are the consecutive even numbers with the LCM of 60 that you seek. If you list out the multiples of 6, 8, and 14, you will see that 6 also has a multiple of 60, but neither of the others has a multiple of 60.
There are more advanced ways to do this type of work, but none simpler
Step-by-step explanation:
here is your answer dude