2.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.
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Answer:
2 | 16 , 28 , 40 , 77 .
= 2 | 8 , 14 , 20 , 77 .
= 2 | 4 , 7 , 10 , 77.
=2 | 2 , 7 , 5 , 77.
= 7 | 2 , 1 , 5 , 11.
Therefore LCM of the given nos.
= 2 × 2 × 2 × 2 × 2 × 7 × 5 × 11 × 1
= 12320.
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42,63,162=1134
42,78,104,112=82992
16,28,40,77=6160
42,78,104,112=82992
16,28,40,77=6160
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