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Secondary 1 | Maths
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Date Posted: 2 years ago
Views: 278
note that ...
18 = 2^1 x 3^2
42 = 2^1 x 3^1 x 7^1
n = unknown
882 = 2^1 x 3^2 x 7^2 = LCM
since
a) LCM is obtained by taking the highest powers of 2,3 and 7 from among 18, 42 and n ...
b) 882 includes 7^2 but not 18 and 42 ...
therefore, n must include 7^2 = 49
this already satisfies condition that n is larger than 42.
answer: smallest n is 49.
18 = 2^1 x 3^2
42 = 2^1 x 3^1 x 7^1
n = unknown
882 = 2^1 x 3^2 x 7^2 = LCM
since
a) LCM is obtained by taking the highest powers of 2,3 and 7 from among 18, 42 and n ...
b) 882 includes 7^2 but not 18 and 42 ...
therefore, n must include 7^2 = 49
this already satisfies condition that n is larger than 42.
answer: smallest n is 49.
Got it. Thank you :)
See 1 Answer
n = 7^2 = 49
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