Let me solve each LCM problem step by step.
1. LCM of 9, 27, 2
- 9 = 3²
- 27 = 3³
- 2 = 2
- LCM = 2 × 3³ = 2 × 27 = 54
2. LCM of 14, 17, 12
- 14 = 2 × 7
- 17 = 17 (prime)
- 12 = 2² × 3
- LCM = 2² × 3 × 7 × 17 = 4 × 3 × 7 × 17 = 12 × 119 = 1428
3. LCM of 19, 14, 8
- 19 = 19 (prime)
- 14 = 2 × 7
- 8 = 2³
- LCM = 2³ × 7 × 19 = 8 × 7 × 19 = 56 × 19 = 1064
4. LCM of 24, 11, 14
- 24 = 2³ × 3
- 11 = 11 (prime)
- 14 = 2 × 7
- LCM = 2³ × 3 × 7 × 11 = 8 × 3 × 7 × 11 = 24 × 77 = 1848
5. LCM of 3, 10, 14
- 3 = 3
- 10 = 2 × 5
- 14 = 2 × 7
- LCM = 2 × 3 × 5 × 7 = 210
6. LCM of 14, 28, 21
- 14 = 2 × 7
- 28 = 2² × 7
- 21 = 3 × 7
- LCM = 2² × 3 × 7 = 4 × 3 × 7 = 84
7. LCM of 9, 13, 26
- 9 = 3²
- 13 = 13 (prime)
- 26 = 2 × 13
- LCM = 2 × 3² × 13 = 2 × 9 × 13 = 18 × 13 = 234
8. LCM of 13, 29, 21
- 13 = 13 (prime)
- 29 = 29 (prime)
- 21 = 3 × 7
- LCM = 3 × 7 × 13 × 29 = 21 × 377 = 7917
9. LCM of 18, 29, 21
- 18 = 2 × 3²
- 29 = 29 (prime)
- 21 = 3 × 7
- LCM = 2 × 3² × 7 × 29 = 2 × 9 × 7 × 29 = 18 × 203 = 3654
10. LCM of 27, 23, 15
- 27 = 3³
- 23 = 23 (prime)
- 15 = 3 × 5
- LCM = 3³ × 5 × 23 = 27 × 5 × 23 = 135 × 23 = 3105
Let me verify some calculations with code.
Parent Tip: Review the logic above to help your child master the concept of least common multiple worksheet and answers.
