Let’s solve each pair of numbers to find their Least Common Multiple (LCM). The LCM is the smallest number that both numbers can divide into evenly.
We’ll go one by one:
1.
24, 36
Multiples of 24: 24, 48, 72, 96…
Multiples of 36: 36, 72, 108…
→ LCM =
72
2.
45, 60
Multiples of 45: 45, 90, 135, 180…
Multiples of 60: 60, 120, 180…
→ LCM =
180
3.
30, 50
Multiples of 30: 30, 60, 90, 120, 150…
Multiples of 50: 50, 100, 150…
→ LCM =
150
4.
16, 24
Multiples of 16: 16, 32, 48…
Multiples of 24: 24, 48…
→ LCM =
48
5.
25, 30
Multiples of 25: 25, 50, 75, 100, 125, 150…
Multiples of 30: 30, 60, 90, 120, 150…
→ LCM =
150
6.
20, 40
40 is a multiple of 20 → LCM =
40
7.
45, 25
Multiples of 45: 45, 90, 135, 180, 225…
Multiples of 25: 25, 50, 75, 100, 125, 150, 175, 200, 225…
→ LCM =
225
8.
30, 45
Multiples of 30: 30, 60, 90…
Multiples of 45: 45, 90…
→ LCM =
90
9.
20, 80
80 is a multiple of 20 → LCM =
80
10.
16, 12
Multiples of 16: 16, 32, 48…
Multiples of 12: 12, 24, 36, 48…
→ LCM =
48
11.
35, 25
Multiples of 35: 35, 70, 105, 140, 175…
Multiples of 25: 25, 50, 75, 100, 125, 150, 175…
→ LCM =
175
12.
80, 30
Multiples of 80: 80, 160, 240…
Multiples of 30: 30, 60, 90, 120, 150, 180, 210, 240…
→ LCM =
240
13.
18, 20
Multiples of 18: 18, 36, 54, 72, 90, 108, 126, 144, 162, 180…
Multiples of 20: 20, 40, 60, 80, 100, 120, 140, 160, 180…
→ LCM =
180
14.
3, 18
18 is a multiple of 3 → LCM =
18
15.
20, 28
Multiples of 20: 20, 40, 60, 80, 100, 120, 140…
Multiples of 28: 28, 56, 84, 112, 140…
→ LCM =
140
16.
10, 30
30 is a multiple of 10 → LCM =
30
17.
21, 28
Multiples of 21: 21, 42, 63, 84…
Multiples of 28: 28, 56, 84…
→ LCM =
84
18.
15, 35
Multiples of 15: 15, 30, 45, 60, 75, 90, 105…
Multiples of 35: 35, 70, 105…
→ LCM =
105
19.
28, 14
28 is a multiple of 14 → LCM =
28
20.
24, 16
Same as #4 → LCM =
48
21.
35, 20
Multiples of 35: 35, 70, 105, 140…
Multiples of 20: 20, 40, 60, 80, 100, 120, 140…
→ LCM =
140
22.
30, 10
30 is a multiple of 10 → LCM =
30
23.
45, 15
45 is a multiple of 15 → LCM =
45
24.
20, 45
Multiples of 20: 20, 40, 60, 80, 100, 120, 140, 160, 180…
Multiples of 45: 45, 90, 135, 180…
→ LCM =
180
25.
36, 72
72 is a multiple of 36 → LCM =
72
26.
20, 45
Same as #24 → LCM =
180
27.
39, 13
39 is a multiple of 13 → LCM =
39
28.
90, 45
90 is a multiple of 45 → LCM =
90
29.
45, 35
Same as #18 → LCM =
105
30.
25, 50
50 is a multiple of 25 → LCM =
50
Final Answer:
1. 72
2. 180
3. 150
4. 48
5. 150
6. 40
7. 225
8. 90
9. 80
10. 48
11. 175
12. 240
13. 180
14. 18
15. 140
16. 30
17. 84
18. 105
19. 28
20. 48
21. 140
22. 30
23. 45
24. 180
25. 72
26. 180
27. 39
28. 90
29. 105
30. 50
Parent Tip: Review the logic above to help your child master the concept of finding lcm worksheet.
