Answer: The LCM of 3 and 8 is 24.
Step-by-step explanation:
So far, the given two numbers are 3 and 8. We have to find the LCM ( Least Common Multiple ) of 3 and 8, not the GCF ( Greatest Common Factor). That means, we have to find the smallest multiple of 3 and 8.
Let's try it out.
3 times 1 = 3. Is that a multiple of eight? No.
3 times 2 = 6. Is that a multiple of eight? No.
3 times 3 = 9. Is that a multiple of eight? No.
3 times 4 = 12. Is that a multiple of eight? No.
3 times 5 = 15. Is that a multiple of eight? No.
3 times 6 = 18. Is that a multiple of eight? No.
3 times 7 = 21. Is that a multiple of eight? No.
3 times 8 = 24. Is that a multiple of eight? YES!
Now try it out for 8.
8 times 1 = 8. Is that a multiple of three? No.
8 times 2 = 16. Is that a multiple of three? No.
8 times 3 = 24. Is that a multiple of three? YES!
So now that 24 occurs in the list for both of them, it is the LCM because there are no other numbers that come before it that are multiples of both 3 and 8.
