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