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Question -

अभाज्य गुणनखण्डन द्वारा निम्नांकित संख्याओं के म०स० ज्ञात कीजिए।
(i) 144, 198
(ii) 225, 450
(iii) 13, 39, 273
(iv) 120, 144, 204
(v) 101, 909, 1111
(vi) 625, 3125, 15625



Answer -

(i) 144, 198
हल :
144 = 2 x 2 x 2 x 2 x 3 x 3
198 = 2 x 3 x 3 x 11
म०स० = 2 x 3 x 3 = 18
(ii) 225, 450
हल:
225 = 5 x 5 x 3 x 3
450 = 5 x 5 x 2 x 3 x 3
म०स० = 5 x 5 x 3 x 3 = 225
(iii) 13, 39, 273
हल:
13 = 1 x 13
39 = 13 x 3
273 = 13 x 3 x 7
म०स० = 13
(iv) 120, 144, 204
हल:
120 = 2 x 2 x 2 x 3 x 5
144 = 2 x 2 x 2 x 2 x 3 x 3
204 = 2 x 2 x 3 x 17
म०स० = 2 x 2 x 3 = 12
(v) 101, 909, 1111
हल:
101 = 1 x 101
909 = 3 x 3 x 101
1111 = 1 x 11 x 101
म०स० = 101
(vi) 625, 3125, 15625
हल:
625 = 5 x 5 x 5 x 5
3125 = 5 x 5 x 5 x 5 x 5
15625 = 5 x 5 x 5 x 5 x 5 x 5
म०स० = 5 x 5 x 5 x 5 = 625

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