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455699426-Finding-LCM-given-fractions-pdf

factors and lcm

Ayisha1225
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455699426-Finding-LCM-given-fractions-pdf

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  1. Name:_____________________________________________ Date:________________ Mathematic Remember: For Multiples think Multiplication Tables Lowest Common Multiple (L.C.M.): These are the multiples that given numbers have in common. E.g. ➢8 is a multiple of 2 and 4. ➢It can be said to be a common multiple of 2 and 4 ➢Numbers such as 16, 24, 32 and many others are multiples that 2 and 4 share (common multiples) but the lowest is 8 Example: The L.C.M of 4, 5 and 8 Times-Tables Method 4:- 4 , 8 , 12, 20, 24, 28, 32, 36, 40, 44, 48 Example: The L.C.M of 4, 5 and 8 Ladder Method Step 1: Divide each Number given using Prime Numbers (factors). Starting with the smallest factor if possible. At least one number on the line must be divided. Step 2: Continue dividing by the prime numbers until the last line has only 1’s Prime Number = 2, 3, 5, 7, 11, 13 etc Prime: 2,3,5,7,11 4 , 5 , 8 2 , 5 , 4 1 , 5 , 2 1 , 5 , 1 1 , 1 , 1 2 2 2 5 5:- 5, 10, 15, 20, 25, 30, 35, 40, 45, 50 8:- 8, 16, 24, 32, 40, 48, 56, 64, 72 L.C.M. = 2 x 2 x 2 x 5 = 40

  2. Exercise 1: Find the L.C.M. of the following using Multiplication Method (M) or Ladder Method (L). 1. 2. 3. 4. 5. 6. 7. 8. 9. 10.15 and 30 2 and 3 2 and 5 2 and 9 4 and 8 4 and 10 6 and 21 6 and 11 7 and 10 10 and 14 11.7 and 11 12.8 and 18 13.11 and 15 14.11 and 20 15.5, 7 and 12 16.6, 10 and 12 17.8, 12 and 14 18.8, 14 and 16 19.3, 6 and 18 20.3, 4 and 6

  3. Exercise 2: Find the L.C.M. of the following 1 4 , 1 L.C.M = 3 4 , 1 L.C.M = 1 2 , 3 L.C.M = 1 2 , 2 L.C.M = 3 9, 2 L.C.M = 1 2 , 4 L.C.M = 2 3 , 5 L.C.M = 4 5 , 3 L.C.M = 1 4 , 5 L.C.M = 2 3 , 3 L.C.M = 2 = 10 = 3 = 6 = 12 = 8 = 10 = 4 = 3 = 9 = 10 , 2 L.C.M = 7 1 2 , 2 L.C.M = 1 4 , 1 L.C.M = 2 3 , 4 L.C.M = 1 3 , 5 L.C.M = 5 = 5 = 2 = 5 = 12 = 1 2 , 4 L.C.M = 10 , 2 L.C.M = 7 2 3 , 3 L.C.M = 2 8 , 1 L.C.M = 7 8 , 3 L.C.M = 5 = 5 = 4 = 3 = 4 =

  4. Exercise 3 : Using L.C.M. work the following sums 1 6 + 1 L.C.M = 3 8 + 1 L.C.M = 5 8 + 7 L.C.M = 3 5 + 3 L.C.M = 5 8 + 1 L.C.M = 9 15 + 5 L.C.M = 2 3 + 2 L.C.M = 3 9 + 1 L.C.M = 4 5 + 2 L.C.M = 4 = 4= 4 = 2 = 15 = 10 + 2 L.C.M = 4 9 + 5 L.C.M = 3 20 + 2 L.C.M = 3 7 + 3 L.C.M = 7 12 + 1 L.C.M = 3 10 + 1 L.C.M = 5 4 = 5 = 5 = 3 = 2 = 3 = 4 = 12 = 8 = 6 =

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