Complete the following table and find the relationship between HCF and LCM. Numbers HCF LCM HCF × LCM Product of numbers 12 , 18 ----------- 36 --------- 216

Given, LCM = 36 . Product of numbers is 216 . We have to find HCF and HCF × LCM of 12 , 18 . So, Factors of 12 = 2 × 2 × 3 Factors of 18 = 2 × 3 × 3 So, HCF of 12 , 18 = 2 × 3 = 6 . and HCF × LCM = 6 × 36 = 216 . So, Numbers HCF LCM HCF × LCM Product of numbers 12 , 18 6 36 216 216 From this table we can say that LCM is always greater than HCF.

Complete the following table and find the relationship between HCF and LCM. Numbers HCF LCM HCF × LCM Product of numbers 15 , 20 5 ------- --------- 300

Given , HCF = 5 We have to find LCM and HCF × LCM of 15 , 20 So, 5 15 , 20 2 3 , 4 3 , 2 So, LCM of 15 , 20 = 2 × 2 × 3 × 5 = 60 and HCF × LCM = 5 × 60 = 300 So, Numbers HCF LCM HCF × LCM Product of numbers 15 , 20 5 60 300 300 From this table we can say that LCM is always greater than HCF.

Complete the following table and find the relationship between HCF and LCM. Numbers HCF LCM HCF × LCM Product of numbers . . . . . , 124 ----------- --------- 12 , 152 ----------

Given , HCF × LCM = 12 , 152 Let other number be x . From above two examples we observe that HCF × LCM and product of numbers are same. So, product of numbers = 12 , 152 ⇒ x × 124 = 12 , 152 ⇒ x = 98 So, other number is 98 . we have to find HCF and LCM of 98 a n d 124 So, Factors of 98 = 2 × 7 × 7 Factors of 124 = 2 × 2 × 31 So, HCF of 98 , 124 = 2 And HCF × LCM = 12 , 152 ⇒ 2 × L C M = 12 , 152 ⇒ L C M = 6 , 076 From this table we can say that LCM is always greater than HCF. So, Numbers HCF LCM HCF × LCM Product of numbers 98 , 124 2 6 , 076 12 , 152 12 , 152

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START UP MATHEMATICS>Chapter 3 - Playing with Numbers>THINKING SKILLS

Rahul Sofat Solutions for Chapter: Playing with Numbers, Exercise 9: THINKING SKILLS

Author:Rahul Sofat

Rahul Sofat Mathematics Solutions for Exercise - Rahul Sofat Solutions for Chapter: Playing with Numbers, Exercise 9: THINKING SKILLS

Attempt the free practice questions on Chapter 3: Playing with Numbers, Exercise 9: THINKING SKILLS with hints and solutions to strengthen your understanding. START UP MATHEMATICS solutions are prepared by Experienced Embibe Experts.