Question

14 Find the L.C.M.:
(i) 24, 120, 300
(iii) 172,688, 1032
(ii) 196,980,49​

Answer 1

Answer:

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Answer 2

i. 14 = 2 x 7

28 = 2 x 14

= 2 x 2 x 7

∴ HCF of 14 and 28 = 2 x 7

= 14

LCM of 14 and

28 = 2 x 2 x 7

= 28

ii. 32 = 2 x 16

= 2 x 2 x 8

= 2 x 2 x 2 x 4

= 2 x 2 x 2 x 2 x 2

16 = 2 x 8

= 2 x 2 x 4

= 2 x 2 x 2 x 2

∴ HCF of 32 and 16 = 2 x 2 x 2 x 2

= 16

∴ LCM of 32 and 16 = 2 x 2 x 2 x 2 x 2 = 32

iii. 17 = 17 x 1

102 = 2 x 51

= 2 x 3 x 17

170 = 2 x 85

= 2 x 5 x 17

∴ HCF of 17, 102 and 170 = 17

∴ LCM of 17, 102 and 170 = 17 x 2 x 3 x 5

= 510

iv. 23 = 23 x 1

69 = 3 x 23

∴ HCF of 23 and 69 = 23

∴ LCM of 23 and 69 = 23 x 3 = 69

v. 21 = 3 x 7

49 = 7 x 7

84 = 2 x 42

= 2 x 2 x 21

= 2 x 2 x 3 x 7

∴ HCF of 21, 49 and 84 = 7

∴ LCM of 21, 49 and 84 = 7 x 3 x 7 x 2 x 2

= 588