NumbersThe smallest number of five digits exactly divisible by 476 isOptions10000476001047610472
Question
NumbersThe smallest number of five digits exactly divisible by 476 isOptions10000476001047610472
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.
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.
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