I have fewer than 30 marbled
I can put them equally into 2 groups 6 groups or 9 groups how many marbles do I have
What is the LCM of 2, 6, and 9 ?
I will not tell you the answer. Think about it. What number can be divided by both 2, 6, and 9 and is less than 30. I"ll only tell you that it is less than 20 but greater than 10.
To solve this problem, we can use the concept of divisibility. Since we can divide the marbles equally into 2, 6, or 9 groups, the total number of marbles must be divisible by all three numbers: 2, 6, and 9.
To find the lowest common multiple (LCM) of 2, 6, and 9, we can list the multiples of each number and find the smallest number that appears in all three lists.
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30
Multiples of 6: 6, 12, 18, 24, 30
Multiples of 9: 9, 18, 27, 36
From the lists above, we can see that the smallest number divisible by 2, 6, and 9 is 18.
Therefore, you have 18 marbles.