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Finding the Common Multiples and LCM of Two Numbers, Schemes and Mind Maps of Elementary Mathematics

Exercises on finding the multiples and the least common multiple (LCM) of two numbers. It covers examples of finding the multiples and common multiples of numbers like 2 and 3, 4 and 5, 12, 15, and 20. It also explains how to find the LCM using the common division method.

Typology: Schemes and Mind Maps

2021/2022

Uploaded on 09/27/2022

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Exercise 2
1List the first 10 multiples of the following
numbers Find the common multiples and write
the LCM also.
(a ) 2 and 3
Multiples of 2 are 2, 4, 6, 8 ,10, 12,14 ,16,
18 ,20
Multiples of 3 are 3, 6, 9 ,12, 15, 18 ,21 ,24 ,27 ,30
Common multiples of 2 and 3 are 6, 12, 18
LCM of 2 and 3 is = 6
(b ) 4 and 5
Multiples of 4 are = 4, 8 ,12, 16 ,20 ,24, 28, 32, 36 ,40,
Multiples of 5 are = 5 ,10 ,15 ,20, 25 ,30, 35 ,40, 45, 50
Common multiples of
4 and 5 are
20 ,40
LCM of 4 and 5 is =
20
practice question
- d , e , f , h
2List the multiples of 12 , 15 and 20 and circle the
common multiples and then find the LCM
Multiples of 12 - 12 ,24 ,36 ,48 ,60,
72 ,84 ,96 ,108 ,120
Multiples of 15 15, 30 ,45, 60 ,75, 90 ,105 ,120,
135 , 150
Multiples of 20 - 20 ,40 ,60 ,80, 100 ,120
140,160 ,180 ,200
Common multiples are 60 and 120
LCM = 60
HOLY CROSS CONVENT SENIOR SECONDARY SCHOOL, AMBIKAPUR.
CLASS - IV
SUBJECT - MATHS
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Exercise 2

1 List the first 10 multiples of the following numbers Find the common multiples and write the LCM also. (a ) 2 and 3 Multiples of 2 are 2, 4, 6, 8 ,10, 12 ,14 ,16, 18 , Multiples of 3 are 3, 6 , 9 , 12 , 15, 18 ,21 ,24 ,27 , Common multiples of 2 and 3 are 6, 12, 18 LCM of 2 and 3 is = 6 (b ) 4 and 5 Multiples of 4 are = 4, 8 ,12, 16 , 20 ,24, 28, 32, 36 ,40, Multiples of 5 are = 5 ,10 ,15 , 20 , 25 ,30, 35 ,40, 45, 50 Common multiples of 4 and 5 are 20 , LCM of 4 and 5 is = 20 practice question

- d , e , f , h 2 List the multiples of 12 , 15 and 20 and circle the common multiples and then find the LCM Multiples of 12 - 12 ,24 ,36 ,48 , 60 , 72 ,84 ,96 ,108 , 120 Multiples of 15 – 15, 30 ,45, 60 ,75, 90 ,105 , 120 , 135 , 150 Multiples of 20 - 20 ,40 , 60 ,80, 100 , 120 140,160 ,180 , Common multiples are – 60 and 120 LCM = 60

HOLY CROSS CONVENT SENIOR SECONDARY SCHOOL, AMBIKAPUR.

CLASS - IV SUBJECT - MATHS

3 Do it yourself 4 The first common multiple of 6 and 15 is 30. The second common multiple of 6 and 15 is 60. Find the 3rd^ , 4th and 5th common multiple of 6 and 15. 1 st^ common multiple of 6 and 15 = 30 2nd common multiple of 6 and 15 = 2 x 30 = 60 3 rd^ common multiple of 6 and 15 = 3 x 30 = 90 4 th^ common multiple of 6 and 15 = 4 x 30 = 120 5 th^ common multiple of 6 and 15 = 5 x 30 = 150 Thus 30, 60 ,90, 120 and 150 are common multiples of 6 and 15.

5. The LCM of 2 and 5 is 10. Find the next 5 common multiples. 1 st^ common multiple of 2 and 5 is = 10 2 nd^ common multiple of 2 and 5 is 2 x 10 = 3 rd^ common multiple of 2 and 5 is 3 x10 = 30 4 th^ common multiple of 2 and 5 is. 4 x 10 = 40 5 th^ common multiple of 2 and 5 is 5 x 10 = 50 6 th^ common multiple of 2 and 5 is 5 x. 10 = 60 Thus 20 , 30,40, 50 , 60 are next 5 common multiples of 2 and 5.

  1. Study the diagram carefully and answer the questions. (PAGE NO.131 ) ( Write it down in your book ) a ) List the multiples of 6 – 6 ,12 ,18, 24, 32, 36 ,42 ,48 ,54,60 ,66, 72, b ) List the multiples of 9 - 9,18 ,27,36 45 ,54,63 ,72, c) List the common multiples of 6

and 9 – 18, 36 ,54 ,

d ) What is the LCM of 6 and 9 - 18

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