Question

find the LCM of 75, 150, 200 by prime factorisation with full explanation

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Answer 1

Answer:

75 3      

25 5

5 5

1  

 

150 2

75 3

25 5

5 5

1  

 

200 2

100 2

50 2

25 5

5 5

1

Prime factors of 75 = 3 . 52

Prime factors of 150 = 2 . 3 . 52

Prime factors of 200 = 23 . 52

Common prime factors: 5

Common prime factors with the greatest exponent: 52

Uncommon prime factors: 3 , 2

Uncommon prime factors with the greatest exponent: 31, 23

LCM = 52. 31. 23 = 600

Step-by-step explanation:

Answer 2

Step-by-step explanation:

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