HOW DO LEAST COMMON MULTIPLES WORK. IT SAYS THERE IS A PROBLEM TO SOLVE BUT MY MOM AND I CAN'T FIND IT. THEY CIRCLED BOTH 2'S AND 3'S.
The least common multiple of 2 and 3 is six.
The least common multiple of 12 and 6 is 12.
# noun: the smallest multiple that is exactly divisible by every member of a set of numbers (Example: "The least common multiple of 12 and 18 is 36")
Is 30muilply by 5
What is 30 less than?
To find the least common multiple (LCM) of two or more numbers, you need to find the smallest number that is divisible by both of them (and possibly other numbers as well).
In your case, your mom circled both 2's and 3's, indicating that the two numbers involved are likely 2 and 3.
To find the LCM of 2 and 3, you can list the multiples of each number and identify the smallest one that they both have in common.
For 2, the multiples are: 2, 4, 6, 8, 10, 12, ...
For 3, the multiples are: 3, 6, 9, 12, 15, ...
As you can see, the smallest number that appears in both lists is 6. Therefore, the LCM of 2 and 3 is 6.
If you have any specific numbers you need help finding the LCM for, please provide them, and I'll be happy to guide you through the steps.
To understand how the least common multiple (LCM) works, let's start by looking at what a multiple is. A multiple of a number is any number that can be obtained by multiplying it by another whole number. For example, the multiples of 2 are 2, 4, 6, 8, and so on.
Now, the LCM is the smallest multiple that is divisible by two or more given numbers. In the case you mentioned, the numbers circled by your mom are 2 and 3. To find the LCM of these numbers, we need to determine the smallest number that is divisible by both 2 and 3, without leaving any remainder.
One way to find the LCM is by listing the multiples of both numbers until we find a common multiple. For 2, the multiples are: 2, 4, 6, 8, 10, 12, and so on. For 3, the multiples are: 3, 6, 9, 12, 15, 18, and so on.
From these lists, we can see that the smallest multiple both numbers have in common is 6. Therefore, the LCM of 2 and 3 is 6.
Here's another example with larger numbers: let's find the LCM of 12 and 6. The multiples of 12 are: 12, 24, 36, 48, and so on. The multiples of 6 are: 6, 12, 18, 24, 30, and so on. From these lists, we can see that the smallest multiple both numbers have in common is 12. Thus, the LCM of 12 and 6 is 12.
In summary, the LCM is the smallest number that is divisible by all the given numbers without leaving any remainder. To find the LCM, you can list the multiples of the numbers and look for a common multiple. Alternatively, you can use methods like prime factorization or the method of finding the greatest common divisor (GCD) to calculate the LCM efficiently.