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Introduction to Multiples
Multiples are numbers that is the product of two or more numbers. For example, the number 12 is a multiple of 2, 3, and 4. The number 12 can be written as the product of 2 and 6, or 3 and 4.
FAQs on Multiples
Here are some frequently asked questions about multiples:
- What is a multiple?
A multiple is a number that is a product of a given number and an integer. For example, the multiples of 3 are 3, 6, 9, 12, 15, and so on.
- How do you find the multiples of a number?
To find the multiples of a number, you can multiply the number by the positive integers (1, 2, 3, etc.). For example, to find the multiples of 4, you can multiply 4 by 1, 2, 3, and so on: 4 * 1 = 4, 4 * 2 = 8, 4 * 3 = 12, and so on.
- How do you determine if a number is a multiple of another number?
To determine if a number is a multiple of another number, you can divide the number by the other number and see if the result is an integer. If the result is an integer, then the number is a multiple of the other number. For example, to determine if 12 is a multiple of 3, you can divide 12 by 3: 12/3 = 4. Since the result is an integer, 12 is a multiple of 3.
- How do you find the least common multiple (LCM) of two or more numbers?
To find the least common multiple (LCM) of two or more numbers, you can list the multiples of each number and find the smallest number that is a multiple of both. For example, to find the LCM of 4 and 6, you can list the multiples of 4 and 6:
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120, 124, 128, 132, 136, 140, 144, 148, 152, 156, 160, 164, 168, 172, 176, 180, 184, 188, 192, 196, 200, …
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108, 114, 120, 126, 132, 138, 144, 150, 156, 162, 168, 174, 180, 186, 192, 198, 204, 210, 216, 222, 228, 234, 240, 246, 252, 258, 264, 270, 276, 282, 288, 294, 300, …
The LCM of 4 and 6 is 12, which is the smallest number that is a multiple of both 4 and 6.
