**Frank Learning Maths Class 5 Chapter 6 Multiples and Factors Exercise 6.5 Solutions**

This post is created to help all the CBSE Class 5 students for the Solutions of Frank Learning Maths Class 5 Mathematics Book, Chapter 6 Multiples and Factors Exercise 6.5. Here students can easily find step by step solutions of all the problems for Multiples and Factors Exercise 6.5. Step by Step proper solutions for every problems. All the problem are solved with easily understandable methods with proper guidance so that all the students can understand easily.

**Chapter 6 – Multiples and Factors**

**Multiples and Factors – Exercise 6.5 all Questions Solution**

**(1) Find the LCM of the following numbers**

**Solution :**

**(a)**

**LCM **= 3 × 5 × 2 × 5

= 150

**(b)**

**LCM **= 3 × 15 × 22

= 990

**(c)**

**LCM **= 5 × 2 × 2 × 5 × 3

= 300

**(d)**

**LCM** = 3 × 3 × 4 × 7 × 9

= 2268

**(2) Find the LCM by prime factorisation method.**

**Solution :**

**(a) Given number,** 28 and 35

28 = 2 × 2 × 7

35 = 5 × 7

∴ **LCM** = 7 × 2 × 2 × 5

= 140

**(b) Given number,** 48 and 72

48 = 2 × 2 × 2 × 2 × 3

72 = 2 × 2 × 2 × 3 × 3

**∴**** LCM** = 2 × 2 × 2 × 3 × 2 × 3

= 144

**(c) Given number,** 22 and 66

22 = 2 × 11

66 = 11 × 2 × 3

∴ **LCM** = 11 × 2 × 3

= 66

**(d) Given number,** 36, 48 and 96

36 = 2 × 2 × 3 × 3

48 = 2 × 2 × 2 × 2 × 3

96 = 2 × 2 × 2 × 2 × 3

**∴**** LCM** = 2 × 2 × 3 × 3 × 2 × 2 × 2

= 288

**(e) Given number,** 125, 180 and 210

125 = 5 × 5 × 5

180 = 3 × 3 × 4 × 5

210 = 3 × 2 × 7 × 5

**∴**** LCM** = 5 × 5 × 5 × 3 × 3 × 2 × 2 × 7

= 31,500

**(3) Find the LCM by common division method**

**Solution :**

**(a)** Given number, 20, 35, and 45

Now, by common division method,

∴ **LCM** = 5 × 4 × 7 × 9

= 1260

So, the LCM of 20, 35, and 45 is **1260.**

**(b)**

**∴**** LCM** = 5 × 2 × 5 × 13

= 650

**(c)**

**∴**** LCM** = 3 × 3 × 2 × 2 × 2 × 5 × 3 ×4

= 4320

**(d)**

**∴**** LCM** = 2 × 2 × 2 × 3 × 2 × 3 × 2 × 2 × 5

= 2880

**(e)**

**∴**** LCM** = 2 × 3 × 2 × 7 × 5 × 9

= 3780

**(f)**

**∴**** LCM** = 5 × 27 × 35

= 4725

**(g)**

**∴**** LCM** = 2 × 2 × 2 × 3 × 6 × 5

= 720