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