Question

What is the largest nymber multiple of 168 and 288

Answer 1

Answer:

spelling of number is wrong

Answer 2

Step-by-step explanation:

What is the largest number that has the multiples of 168 and 288?

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Infinity.

Specifically, the numerical portion of infinity related to the LCM of the numbers 168 and 288, which is 2016.

(Lowest Common Multiple of 168 and 288 through factorization -

168 = 2 x 84 = 2 x 2 x 42 = 2 x 2 x 2 x 21 = 2 x 2 x 2 x 3 x 7

288 = 2 x 144 = 2 x 2 x 72 = 2 x 2 x 2 x 36 = 2 x 2 x 2 x 2 x 18 = 2 x 2 x 2 x 2 x 2 x 9 = 2 x 2 x 2 x 2 x 2 x 3 x 3

Mark (write) all shared factors -

2 x 2 x 2 x 3 x 7 and 2 x 2 x 2 x 2 x 2 x 3 x 3 share the numbers (factors) 2, 2, 2 and 3 so you would inscribe 2 x 2 x 2 x 3 -

Add the remaining factors to the calculation -

2 x 2 x 2 x 3 times 7 x 2 x 2 x 3 and multiply together to get 2016 = LCM)

Now, multiply 2016 by n (where n can be any number up to and including ∞) to get the answer to the OP’s question -