Common Multiples and Least Common Multiple Mrs. Young EMC 1
Product The answer to a multiplication  problem. 6  X  6  =  36
What is the product? 7  X  8  =  56
What is the product? 8  X  9  =  72
Multiple The product of a whole number multiplied times any other whole number. Some multiples of 6  6, 12, 18, 24, 30, 36, 42
Name some multiples of 5 5, 10, 15, 20, 25, 30, 35
Name some multiples of 7 7, 14, 21, 28, 35, 42, 49
Name some multiples of 4 4, 8, 12, 16, 20, 24, 28
Name some multiples of 9 9, 18, 27, 36, 45, 54, 63
Common Multiple A number that is a multiple of two or more numbers.
Find the least common multiple of 3 and 6 Step 1:  List the multiples of both numbers (only list the first 8). 3:  3, 6, 9, 12, 15, 18, 21, 24 6:  6, 12, 18, 24, 30, 36, 42, 48
Step 2: Circle the common multiples 3:  3, 6, 9, 12, 15, 18, 21, 24 6:  6, 12, 18, 24, 30, 36, 42, 48
Step 3: Find the least common multiple (LCM) The least common multiple is the multiple that has the least value but is common between the two numbers.   3:  3,  6 , 9,  12 , 15,  18 , 21,  24 6:  6 ,  12 ,  18 ,  24 , 30, 36, 42, 48 So, the least common multiple (LCM) is 6.  Note that there is only ONE least common multiple, but there may be more than one common multiple.
Find the least common multiple of 9 and 12 Step 1:  List the multiples of both numbers (only list the first 8) 9:  9, 18, 27, 36, 45, 54, 63, 72 12:  12, 24, 36, 48, 60, 72, 84, 96
Step 2: Circle the common multiples 9:  9, 18, 27, 36, 45, 54, 63, 72 12:  12, 24, 36, 48, 60, 72, 84, 96
Step 3:   Find the least common multiple (LCM) The least common multiple is the multiple that has the least value but is common between the two numbers.   9:  9, 18, 27,  36 , 45, 54, 63,  72 12:  12, 24,  36 , 48, 60,  72 , 84, 96 So, the least common multiple (LCM) is 36.  Note that there is only ONE least common multiple, but there may be more than one common multiple.
Find the least common multiple of 4 and 6 Step 1:  List the multiples of both numbers (only list the first 8) 4:  4, 8, 12, 16, 20, 24, 28, 32 6:  6, 12, 18, 24, 30, 36, 42, 48
Step 2: Circle the common multiples 4:  4, 8, 12, 16, 20, 24, 28, 32 6:  6, 12, 18, 24, 30, 36, 42, 48
Step 3: Find the least common multiple (LCM) The least common multiple is the multiple that has the least value but is common between the two numbers.   4:  4, 8,  12 , 16, 20,  24 , 28, 32 6:  6,  12 , 18,  24 , 30, 36, 42, 48 So, the least common multiple (LCM) is 12.  Note that there is only ONE least common multiple, but there may be more than one common multiple.

Common Multiples and Least Common Multiple

  • 1.
    Common Multiples andLeast Common Multiple Mrs. Young EMC 1
  • 2.
    Product The answerto a multiplication problem. 6 X 6 = 36
  • 3.
    What is theproduct? 7 X 8 = 56
  • 4.
    What is theproduct? 8 X 9 = 72
  • 5.
    Multiple The productof a whole number multiplied times any other whole number. Some multiples of 6 6, 12, 18, 24, 30, 36, 42
  • 6.
    Name some multiplesof 5 5, 10, 15, 20, 25, 30, 35
  • 7.
    Name some multiplesof 7 7, 14, 21, 28, 35, 42, 49
  • 8.
    Name some multiplesof 4 4, 8, 12, 16, 20, 24, 28
  • 9.
    Name some multiplesof 9 9, 18, 27, 36, 45, 54, 63
  • 10.
    Common Multiple Anumber that is a multiple of two or more numbers.
  • 11.
    Find the leastcommon multiple of 3 and 6 Step 1: List the multiples of both numbers (only list the first 8). 3: 3, 6, 9, 12, 15, 18, 21, 24 6: 6, 12, 18, 24, 30, 36, 42, 48
  • 12.
    Step 2: Circlethe common multiples 3: 3, 6, 9, 12, 15, 18, 21, 24 6: 6, 12, 18, 24, 30, 36, 42, 48
  • 13.
    Step 3: Findthe least common multiple (LCM) The least common multiple is the multiple that has the least value but is common between the two numbers. 3: 3, 6 , 9, 12 , 15, 18 , 21, 24 6: 6 , 12 , 18 , 24 , 30, 36, 42, 48 So, the least common multiple (LCM) is 6. Note that there is only ONE least common multiple, but there may be more than one common multiple.
  • 14.
    Find the leastcommon multiple of 9 and 12 Step 1: List the multiples of both numbers (only list the first 8) 9: 9, 18, 27, 36, 45, 54, 63, 72 12: 12, 24, 36, 48, 60, 72, 84, 96
  • 15.
    Step 2: Circlethe common multiples 9: 9, 18, 27, 36, 45, 54, 63, 72 12: 12, 24, 36, 48, 60, 72, 84, 96
  • 16.
    Step 3: Find the least common multiple (LCM) The least common multiple is the multiple that has the least value but is common between the two numbers. 9: 9, 18, 27, 36 , 45, 54, 63, 72 12: 12, 24, 36 , 48, 60, 72 , 84, 96 So, the least common multiple (LCM) is 36. Note that there is only ONE least common multiple, but there may be more than one common multiple.
  • 17.
    Find the leastcommon multiple of 4 and 6 Step 1: List the multiples of both numbers (only list the first 8) 4: 4, 8, 12, 16, 20, 24, 28, 32 6: 6, 12, 18, 24, 30, 36, 42, 48
  • 18.
    Step 2: Circlethe common multiples 4: 4, 8, 12, 16, 20, 24, 28, 32 6: 6, 12, 18, 24, 30, 36, 42, 48
  • 19.
    Step 3: Findthe least common multiple (LCM) The least common multiple is the multiple that has the least value but is common between the two numbers. 4: 4, 8, 12 , 16, 20, 24 , 28, 32 6: 6, 12 , 18, 24 , 30, 36, 42, 48 So, the least common multiple (LCM) is 12. Note that there is only ONE least common multiple, but there may be more than one common multiple.