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#mathematics
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#assignment
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Mangoes are to be exactly divided into groups of 20,30,or 36 . what is the minimum number of mangoes required ?
Deh Swaggz
more than 2 weeks ago
Mangoes are to be exactly divided into groups of 20,30,or 36 . what is the minimum number of mangoes required ?
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more than 2 weeks ago
The minimum number of mangoes required to be exactly divided into groups of 20, 30, or 36 is the least common multiple of 20, 30, and 36.
The prime factorization of 20 is 2^2 * 5
The prime factorization of 30 is 2 * 3 * 5
The prime factorization of 36 is 2^2 * 3^2
The least common multiple of 20, 30, and 36 is 2^2 * 3^2 * 5 = 180
Therefore, the minimum number of mangoes required is 180.
The prime factorization of 20 is 2^2 * 5
The prime factorization of 30 is 2 * 3 * 5
The prime factorization of 36 is 2^2 * 3^2
The least common multiple of 20, 30, and 36 is 2^2 * 3^2 * 5 = 180
Therefore, the minimum number of mangoes required is 180.
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