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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 ?

Apr 16

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Apr 16

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.