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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.
2 | 29, 32 |
2 | 29, 16 |
2 | 29, 8 |
2 | 29, 4 |
2 | 29, 2 |
29, 1 |
LCM of 29 and 32 $= 2\times 2\times 2\times 2\times 2\times 29 = 32\times 29= 928$.
b.
2 | 46, 78 |
3 | 23, 39 |
13 | 23, 13 |
23, 1 |
LCM of 46 and 78 $= 2\times 3\times 13\times 23= 78\times 23= 1794$.
c.
2 | 80, 90 |
2 | 40, 45 |
2 | 20, 45 |
2 | 10, 45 |
5 | 5, 45 |
1, 9 |
LCM of 80 and 90 $= 2\times 2\times 2\times 2\times 5\times 9 = 16\times 45= 720$.
d.
2 | 10, 124, 880 |
2 | 5, 62, 440 |
5 | 5, 31, 220 |
2 | 1, 31, 44 |
2 | 1, 31, 22 |
11 | 1, 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 |
2 | 50, 110, 141 |
5 | 25, 55, 141 |
3 | 5, 11, 141 |
5 | 5, 11, 47 |
11 | 1, 11, 47 |
1, 1, 47 |
LCM of 100, 220 and 282 $= 2\times 2\times 3\times 5\times 5\times 11\times 47 = 300\times 517 = 155100$.
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