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5 5 10 15 20 25 30 35 40 10) 5 5 10 15 20 25 30 6 6 12 18 24 30 36 To find the least common multiple one strategy is to list the multiples of the numbers. 4 4 8 12 16 20 24 28 32 36 40 44 48 6 6 12 18 24 30 36 42 48 54 60 66 72 Some of the multiples 4 and 6 have in common are: 12, 24, 36 & 48. The common multiple that is least is 12. 1. 24 2 ...
(m) 25 and 35 (n) 22 and 33 (o) 16 and 24 (p) 20 and 28 Question 7: Find the lowest common multiple (LCM) of each of these sets of numbers. (a) 2, 3 and 5 (b) 3, 4 and 5 (c) 2, 5 and 7 (d) 5, 6 and 9
Least Common Multiple (continued) Definition: Example: 'Smallest positive number that is divisible into all of the sets' members, leaving no remainder. " Set A = multiples of 7 Set B = multiples of 5 Set A = SetB= (all numbers 7n, where n is an integer) (all numbers 5n, where n is an integer) 7, 14, 21, 42... } 5, 10, 15, 20, 25, 30 35, 40...
Two numbers have infinitely many common multiples. For example, the common multiples of 5 and 3 are 15, 30, 45, 60, . . .. The Least Common Multiple (LCM) of two or more numbers is the smallest common multiple of the given numbers. For example, the LCM of 3 and 5 is 15. How to find the LCM - method 1: just use the definition.
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There are several different ways to find the LCM of two or more numbers. Example 1 Find the least common multiple (LCM) of 18 and 30. Method 1 List the multiples of each number. Then circle the common multiples. Multiples of 18: 18, 36, 54, 72, 90, 108, 126, 144, 162, 180.
least common multiple sheet 3a For each problem below, write out the lists of multiples to find the LCM. Remember – you only need to write out as many multiples as the other number.
