40 is the LCM of which two numbers?
20 and 60
40 and 80
10 and 40
5 and 20
8 is the GCF of what two numbers?
24 and 48
14 and 32
16 and 28
16 and 56
40 is the LCM of which two numbers?
10 and 40
8 is the GCF of what two numbers?
16 and 56
kyle = Jim
Why did you post this if you already knew the answers?
To find the LCM (Least Common Multiple) of two numbers, you need to find the smallest number that is divisible by both of those numbers. Here's how you can find it:
1. Take the first number and list its multiples until you find a multiple that is also divisible by the second number.
- For example, if the first number is 20 and the second number is 60, you can list the multiples of 20 until you find one that is divisible by 60:
Multiples of 20: 20, 40, 60, 80, 100, 120, 140, ...
The first multiple, 20, is not divisible by 60. The second multiple, 40, is also not divisible by 60. However, the third multiple, 60, is divisible by 60.
2. Therefore, the LCM of 20 and 60 is 60.
Now, let's find the LCM for each pair of numbers:
1. For 20 and 60:
- We found that the LCM is 60, so 40 is not the LCM of 20 and 60.
2. For 40 and 80:
- Again, list the multiples of 40 until you find one that is divisible by 80:
Multiples of 40: 40, 80, 120, 160, 200, 240, 280, ...
The second multiple, 80, is divisible by 80.
- Therefore, the LCM of 40 and 80 is 80.
3. For 10 and 40:
- Similar to the previous steps, list the multiples of 10 until you find one that is divisible by 40:
Multiples of 10: 10, 20, 30, 40, 50, 60, 70, ...
The fourth multiple, 40, is divisible by 40.
- Therefore, the LCM of 10 and 40 is 40.
4. For 5 and 20:
- List the multiples of 5:
Multiples of 5: 5, 10, 15, 20, 25, 30, 35, ...
The fourth multiple, 20, is divisible by 20.
- Therefore, the LCM of 5 and 20 is 20.
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To find the GCF (Greatest Common Factor) of two numbers, you need to find the largest number that divides both of those numbers evenly. Here's how you can find it:
1. Take the first number and the second number and find their common factors by listing the factors of both numbers.
- For example, if the first number is 24 and the second number is 48, you can list the factors of both numbers:
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
From the common factors, the largest number is the GCF.
2. Therefore, the GCF of 24 and 48 is 24.
Now, let's find the GCF for each pair of numbers:
1. For 24 and 48:
- We found that the GCF is 24, so 8 is not the GCF of 24 and 48.
2. For 14 and 32:
- List the factors of 14: 1, 2, 7, 14
- List the factors of 32: 1, 2, 4, 8, 16, 32
The second common factor, 2, is the largest common factor.
- Therefore, the GCF of 14 and 32 is 2.
3. For 16 and 28:
- List the factors of 16: 1, 2, 4, 8, 16
- List the factors of 28: 1, 2, 4, 7, 14, 28
The third-common factor, 4, is the largest common factor.
- Therefore, the GCF of 16 and 28 is 4.
4. For 16 and 56:
- List the factors of 16: 1, 2, 4, 8, 16
- List the factors of 56: 1, 2, 4, 7, 8, 14, 28, 56
The fourth common factor, 8, is the largest common factor.
- Therefore, the GCF of 16 and 56 is 8.
Please let me know if you need further assistance.