multiple A multiple of a number is the

multiple A multiple of a number is the product of that number and any other whole number. Zero is a multiple of every number. Multiple What am I? Examples: 4: 8, 12, 16, 20, … 7: 14, 21, 28, 35, …

Common multiple What am I? A multiple of two or more numbers. Common Multiple Examples: 3 and 4 0, 12, 24, 36, …

Least Common multiple The smallest nonzero number that is a multiple of two or more numbers. Least Common Multiple What am I? Examples: 3 and 4 Is 12

Greatest Common Factor The greatest common factor, or GCF, is the greatest factor that divides two numbers. Greatest Common Factor What am I? Examples: 6 and 10 6 : 1, 2 , 3, 6 10: 1, 2 5, 10 Answer: 2

Finding Least Common Multiple of 5 and 6 5: 5, 10 , 15, 20, 25, 30, 35, 40 6: 6, 12, 18, 24, 30, 36, 42 • Simply list the multiples of each number (multiply by 2, 3, 4, etc. ) • Then look for the smallest number that appears in each list. • 30 is the smallest number that is a multiple of both numbers.

Finding Least Common Multiple of 5 and 6 5: 5, 10 , 15, 20, 25, 30, 35, 40 6: 6, 12, 18, 24, 30, 36, 42 • Simply list the multiples of each number (multiply by 2, 3, 4, etc. ) • Then look for the smallest number that appears in each list. • 30 is the smallest number that is a multiple of both numbers.

Independent Practice 6 and 10 6: 12, 18, 24, 30, 36, 42 10: 10, 20, 30, 40 LCM: 30 2 and 9 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20 9: 9, 18, 27 LCM: 18 6 and 8 6: 6, 12, 18, 24, 30, 36 8: 8, 16, 24, 32 LCM: 24 3, 5, and 9 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45 5: 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 9: 9, 18, 27, 36, 45 LCM: 45

Finding the Greatest Common factor of 27 and 54 27: 1, 3, 9, 27 54: 1, 2, 3, 6, 9, 16, 27 • It is sometimes called the Greatest Common Divisor. • It can be used to simplify (or reduce) fractions. • Don't let the "greatest" in the name fool you - the GCF is no larger than the smallest of the numbers. • The GCF of 27 and 54 is 27.