NumbersThe smallest number of five digits exactly divisible by 476 isOptions10000476001047610472
Question
Numbers
The smallest number of five digits exactly divisible by 476 is
Options:
- 10000
- 4760
- 10,476
- 10,472
Solution
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.
Similar Questions
The smallest number of five digits exactly divisible by 476 isOptions47600104761047210000
Find the smallest 5-digit number which is exactly divisible by 384. Options 10368 10224 10512 10424
476XY0 is divisible by both 3 & 11. The non-zero digits in the hundred's and ten's places are respectively.
How many different nine digit numbers can be formed from the number 223355888 by rearranging its digits so that the odd digits occupy even positions?163660180
What is the least whole number that should be added to 478 to make it multiple of both 5 and 6?a.0b.2c.8d.5
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.