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168 Arrow-Puffin-4_Semester-1 MathsExample 1 : Find the LCM of 4, 6 and 8.Multiples of 4 : 4 8 12 16 20 24 28 32 36 40Multiples of 6 : 6 12 18 24 30 36 42 48 54 60Multiples of 8 : 8 16 24 32 40 48 56 64 72 80The common multiple of 4, 6 and 8 is 24.The least common multiple of 4,6,8 is 24.24 is the smallest number which is divisible by 4, 6 and 8 without leaving a remainder.Note : If one number is a multiple of another, the greater number is the LCM of the two numbers.Example 2 : Find the LCM of 4 and 8. Notice that 8 is a multiple of 4. Multiples of 4 : 4 8 12 16 20 24 28 32 36 40 Multiples of 8 : 8 16 24 32 40 48 56 64 72 80 The common multiples of 4 and 8 are 8,16,24,32,40. Therefore, LCM of 4 and 8 is 8. The greater of the two numbers, 8 is the LCM.I. Find the first two common multiples of the numbers in each pair.1) 3, 5 2) 3, 4 3) 6, 12 4) 4, 85) 8, 16 6) 20, 30 7) 6, 24 8) 12, 249) 10, 12 10) 15, 30 11)3, 4, 6 12) 2, 4, 6II. Find the LCM by listing multiples.1) 8, 20 2) 7, 14 3) 20, 25 4) 10, 205) 14, 21 6) 9, 15 7) 12, 16 8) 18, 369) 5, 15, 20 10) 3, 6, 8 11) 4, 8, 12 12) 3, 9, 12 Let's Practise 5.2 Application