Question

5. Find the LCM of 144, 112 and 418 by prime factorisation.​

Answer 1

Prime factors of 112 = 2^4 . 7

Prime factors of 144 = 2^4 . 3^2

Prime factors of 418 = 2 . 11 . 19

LCM = 24. 71. 32. 111. 191 = 210672

Answer 2

The LCM is 210672

Step-by-step explanation:

We are supposed to find  LCM of 144, 112 and 418

2 | 144 , 112 , 418

2 | 72 , 56 , 209

2 | 36,28,209

2 | 18,14,209

3 | 9 , 7 , 209

3 | 3 , 7 , 209,

7 | 1 , 7 , 209

11 | 1 , 1 , 209

19 | 1 , 1 , 19

   | 1 , 1, 1

$LCM = 2 \times 2 \times 2 \times 2 \times 3 \times 3 \times 7 \times 11 \times 19=210672$

Hence The LCM is 210672

#Learn more:

Find LCM and HCF by prime factorisation of 510,92,90 and 144​

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