The DAV Class 5 Maths Book Solutions Pdf and **DAV Class 5 Maths Chapter 3 Worksheet 10** Solutions of Multiples and Factors offer comprehensive answers to textbook questions.

## DAV Class 5 Maths Ch 3 Worksheet 10 Solutions

Question 1.

Fill in the blanks.

(a) Prime factorisation of 15 : _______

Prime factorisation of 90 : _______

LCM of 15 and 90 = _______

Solution:

Prime factorisation of 15 : 3 × 5

Prime factorisation of 90 : 2 × 3 × 3 × 5

LCM of 15 and 90 = 2 × 3 × 3 × 5 = 90

(b) Prime factorisation of 18 : _______

Prime factorisation of 24 : _______

LCM of 18 and 24 = _______

Solution:

Prime factorisation of 18 : 2 × 3 × 3

Prime factorisation of 24 : 2 × 2 × 2 × 3

LCM of 18 and 24 = 2 × 2 × 2 × 3 × 3 = 72

(c) Prime factorisation of 25 : _______

Prime factorisation of 15 : _______

LCM of 25 and 15 = _______

Solution:

Prime factorisation of 25 : 5 × 5

Prime factorisation of 15 : 3 × 5

LCM of 25 and 15 = 5 × 5 × 3 = 75

(d) Prime factorisation of 27 : _______

Prime factorisation of 42 : _______

LCM of 27 and 42 = _______

Solution:

Prime factorisation of 27 : 3 × 3 × 3

Prime factorisation of 42 : 2 × 3 × 7

LCM of 27 and 42 = 3 × 3 × 3 × 2 × 7 = 378

Question 2.

Using the prime factorisation method, find the LCM.

(a) 16 and 20

Solution:

16 and 20

Prime factorisation of 16 = 2 × 2 × 2 × 2

Prime factorisation of 20 = 2 × 2 × 5

LCM of 16 and 20 = 2 × 2 × 2 × 2 × 5 = 80

(b) 18 and 27

Solution:

18 and 27

Prime factorisation of 18 = 2 × 3 × 3

Prime factorisation of 27 = 3 × 3 × 3

LCM of 18 and 27 = 2 × 3 × 3 × 3 = 54

(c) 12 and 22

Solution:

12 and 22

Prime factorisation of 12 = 2 × 2 × 3

Prime factorisation of 22 = 2 × 11

LCM of 12 and 22 = 2 × 3 × 2 × 11 = 132

(d) 15 and 24

Solution:

15 and 24

Prime factorisation of 15 = 3 × 5

Prime factorisation of 24 = 2 × 2 × 2 × 3

LCM of 15 and 24 = 3 × 5 × 2 × 2 × 2 = 120

(e) 8 and 16

Solution:

8 and 16

Prime factorisation of 8 = 2 × 2 × 2

Prime factorisation of 16 = 2 × 2 × 2 × 2

LCM of 8 and 16 = 2 × 2 × 2 × 2 = 16

(f) 25 and 35

Solution:

25 and 35

Prime factorisation of 25 = 5 × 5

Prime factorisation of 35 = 5 × 7

LCM of 25 and 35 = 5 × 5 × 7 = 175

(g) 36 and 45

Solution:

36 and 45

Prime factorisation of 36 = 2 × 2 × 3 × 3

Prime factorisation of 45 = 3 × 3 × 5

LCM of 36 and 45 = 2 × 2 × 3 × 3 × 5 = 180

(h) 33 and 44

Solution:

33 and 44

Prime factorisation of 33 = 3 × 11

Prime factorisation of 44 = 2 × 2 × 11

LCM of 33 and 44 = 3 × 2 × 2 × 11 = 132

(i) 20 and 35

Solution:

20 and 35

Prime factorisation of 20 = 2 × 2 × 5

Prime factorisation of 35 = 5 × 7

LCM of 20 and 35 = 2 × 2 × 5 × 7 = 140

(j) 54 and 38

Solution:

54 and 38

Prime factorisation of 54 = 2 × 3 × 3 × 3

Prime factorisation of 38 = 2 × 19

LCM of 54 and 38 = 2 × 3 × 3 × 3 × 19 = 1026

**DAV Class 5 Maths Chapter 3 Worksheet 10 Notes**

Find the prime factorisation of 15, 35

Thus, the LCM of 15 and 35 is 105.