Question

Find the lcm and hcf using fundamental theorem of arithmetic i) 204, 1190, 1445 ii) 108, 288

Answer 1

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Answer 2

Hii friend,

Prime factorisation of 204 = 2 × 2 × 3 × 17

Prime factorisation of 1190 = 2 × 5 × 7 × 17

Prime factorisation of 1445 = 5 × 17 × 17

Therefore,

HCF of 204 , 1190 and 1445 = 17

LCM of 204 , 1190 and 1445 = 17 × 2 × 2 × 3 × 2 × 5 × 7 × 5 × 17 = 1213800

(2) LCM and HCF of 108 , 288.

Prime factorisation of 108 = 2 × 2 × 3 × 3 × 3

Prime factorisation of 288 = 2 × 2 × 2 × 2 × 2 × 3 × 3

HCF of 108 , 288 = 2 × 2 × 3 × 3 = 36.

LCM of 108 , 288 = 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 = 864



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