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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.
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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.
and 9 – 18, 36 ,54 ,
d ) What is the LCM of 6 and 9 - 18
DON’T DRAW THIS IN COPY