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NumbersThe smallest number of five digits exactly divisible by 476 isOptions10000476001047610472

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NumbersThe smallest number of five digits exactly divisible by 476 isOptions10000476001047610472

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Solution 1

To find the smallest number of five digits that is exactly divisible by 476, we can start by finding the least common multiple (LCM) of 476 and 10,000.

Step 1: Prime factorize 476: 476 = 2^2 * 7 * 17

Step 2: Prime factorize 10,000: 10,000 = 2^4 * 5^4

Step 3: Find the LCM by taking the highest power of each prime factor: LCM = 2^4 * 5^4 * 7 * 17

Step 4: Calculate the LCM: LCM = 16 * 625 * 7 * 17 = 1,700,000

Therefore, the smallest number of five digits exactly divisible by 476 is 1,700,000.

This problem has been solved

Solution 2

To find the smallest number of five digits that is exactly divisible by 476, we can start by finding the least common multiple (LCM) of 476 and 10,000.

Step 1: Prime factorize 476: 476 = 2^2 * 7 * 17

Step 2: Prime factorize 10,000: 10,000 = 2^4 * 5^4

Step 3: Find the LCM by taking the highest power of each prime factor: LCM = 2^4 * 5^4 * 7 * 17

Step 4: Calculate the LCM: LCM = 16 * 625 * 7 * 17 = 1,700,000

Therefore, the smallest number of five digits exactly divisible by 476 is 1,700,000.

This problem has been solved

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