The DAV Class 5 Maths Book Solutions Pdf and DAV Class 5 Maths Chapter 3 Worksheet 4 Solutions of Multiples and Factors offer comprehensive answers to textbook questions.
DAV Class 5 Maths Ch 3 Worksheet 4 Solutions
Question 1.
Find the LCM in each case:
(a) 4, 6
Multiples of 4: _________
Multiples of 6: _________
Common multiples of 4, 6 are _________
LCM of 4, 6: _________
Solution:
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36
Multiples of 6: 6, 12, 18, 24, 30, 36, 42
Common multiples of 4, 6 are 12, 24, 36, ___, ___, ____
LCM of 4, 6: 12
(b) 6, 8, 12
Multiples of 6: _________
Multiples of 8: _________
Multiples of 12: _________
Common multiples of 6, 8, and 12 are _________
LCM of 6, 8 and 12: _________
Solution:
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54
Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64
Multiples of 12: 12, 24, 36, 48, 60, 72, ___, ___, ____
Common multiples of 6, 8, and 12 are 24, 48, ___, ___, ____
L.C.M of 6, 8 and 12: 24
(c) 5, 6, 10
Multiples of 5: _________
Multiples of 6: _________
Multiples of 10: _________
Common multiples of 5, 6, and 10 are _________
LCM of 5, 6 and 10: _________
Solution:
Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60
Multiples of 10: 10, 20, 30, 40, 50, 60, 70, …..
Common multiples of 5, 6, and 10 are 30, 60,…..
LCM of 5, 6 and 10: 30
Question 2.
Find the LCM of the given numbers by listing multiples of these numbers.
(a) 9, 18
Solution:
Multiples of 9 = 9, 18, 27, 36, 45
Multiples of 18 = 18, 36, 54
LCM of 9, 18 = 18
(b) 2, 12
Solution:
Multiples of 2 = 2, 4, 6, 8, 10, 12,…..
Multiples of 12 = 12, 24, 36,…..
LCM of 2, 12 = 12
(c) 11, 22, 44
Solution:
Multiples of 11 = 11, 22, 33, 44, 55,…..
Multiples of 22 = 22, 44, 66, 88,…….
Multiples of 44 = 44, 88, 132,……
LCM of 11, 22, 44 = 44
(d) 6, 7, 14
Solution:
Multiples of 6 = 6, 12, 18, 24, 30, 36, 42,……
Multiples of 7 = 7, 14, 21, 28, 35, 42,……
Multiples of 14 = 14, 28, 42, 56,…….
LCM of 6, 7, 14 = 42
(e) 12, 14, 84
Solution:
Multiples of 12 = 12, 24, 36, 48, 60, 72, 84,……
Multiples of 14 = 14, 28, 42, 56, 70, 84,……..
Multiples of 84 = 84, 168, 504,……..
LCM of 12, 14, 84 = 84
(f) 5, 8, 15
Solution:
Mutliples of 5 = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120,…….
Multiples of 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120,……
Multiples of 15 = 15, 30, 45, 60, 75, 90, 105, 120,…..
LCM of 5, 8, 15 = 120
DAV Class 5 Maths Chapter 3 Worksheet 4 Notes
Multiples of 3: 3, 6, 9, 12, 15, 18, 21
Multiples of 6: 6, 12, 18, 24, 30, 36
Common multiples of 3 and 6 are 6, 12, 18…
Among all these 6 is the smallest multiple so the Lowest Common Multiple (LCM) of 3 and 6 is 6.