Find the LCM of the following numbers by division method.a. 29 and 32 b. 46 and 78c. 80 and 90d. 10, 124, and 880e. 100, 220, and 282


Given :

The given numbers are

a. 29 and 32

b. 46 and 78

c. 80 and 90
d. 10, 124, and 880
e. 100, 220, and 282

To do :

We have to find the LCM of the given numbers by division method.

Solution:

a. 

229, 32
2

29, 16

229, 8
229, 4
229, 2

29, 1

LCM of 29 and 32 $= 2\times 2\times 2\times 2\times 2\times 29 = 32\times 29= 928$.

b. 

246, 78
3

23, 39

1323, 13

23, 1

LCM of 46 and 78 $= 2\times 3\times 13\times 23= 78\times 23= 1794$.

c. 

280, 90
2

40, 45

220, 45
210, 45
55, 45

1, 9

LCM of 80 and 90 $= 2\times 2\times 2\times 2\times 5\times 9 = 16\times 45= 720$.

d.

210, 124, 880
2

5, 62, 440

55, 31, 220
21, 31, 44
21, 31, 22
111, 31, 11

1, 31, 1

LCM of 10, 124 and 880 $= 2\times 2\times 2\times 2\times 5\times 11 \times 31 = 80\times 341= 27280$.

e.

2

100, 220, 282
250, 110, 141
525, 55, 141
35, 11, 141
55, 11, 47
111, 11, 47

1, 1, 47

LCM of 100, 220 and 282 $= 2\times 2\times 3\times 5\times 5\times 11\times 47 =  300\times 517 = 155100$.

Updated on: 10-Oct-2022

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