Find the L.C.M of the following by prime factorization method: (i) 42, 63, 162 (ii) 42, 78, 104, 112 (iii) 16,28,40,77 (iv) 112, 168, 22824.7
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Answer:
1. Lcm is 3
2.Lcm is 4368
3. Lcm is 6160
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(I) 42,63,162
42=2*3*7
63=3*3*7
162=2*3*3*33
L. C. M=2*3*3*3*3*7=1134
(II) 42,78,104,112
42=2*3*7
78=2*13*3
104=2*2*2*13
112=2*2*2*2*7
L. C. M= 2*2*2*2*3*7*13=2068
(III) 16,28,40,77
16=2*2*2*2
28=2*2*7
40=2*2*2*5
77=7*11
L. C. M= 2*2*2*2*5*7*11=6160
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