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.