Math, asked by hardikjaguar14, 9 months ago

फाइंड द स्मालेस्ट स्क्वायर नंबर दैट इज डिविजिबल बाय 8 15 20​

Answers

Answered by Anonymous
13

Answer:

First, let’s factor each of the proposed divisors into its prime factors:

8 = 2 * 2 * 2, 15 = 3 * 5, and 20 = 2 * 2 * 5. The least common multiple (LCM) is then

2 * 2 * 2 * 3 * 5 = 120. Now, any square that is evenly divisible by 8, 15, and 20 has

to be divisible by the LCM and any of its multiples. The multiple we want is the

smallest square, which can be generated by including an even number of each of

the factors in the prime factorization, namely 2 * 2 * 2 (* 2) *3 (* 3) *5 (* 5) or 120

(the LCM) * ( 2 * 3 * 5) = 120 * 30 = 3600.

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