Find the greatest five-digit number which is divisible by 7, 10, 15, 21 and 28.Choices:- 99540 99988 99960 99990Save AnswerSkip this questionFinish Exam
Question
Find the greatest five-digit number which is divisible by 7, 10, 15, 21 and 28.
Choices:
- 99540
- 99988
- 99960
- 99990
Solution
The greatest five-digit number is 99999.
Step 1: Find the least common multiple (LCM) of 7, 10, 15, 21, and 28. The LCM is 420.
Step 2: Divide the greatest five-digit number (99999) by the LCM (420). The quotient is 238 and the remainder is 39.
Step 3: Subtract the remainder (39) from the greatest five-digit number (99999). The result is 99960.
Therefore, the greatest five-digit number which is divisible by 7, 10, 15, 21, and 28 is 99960. So, the correct choice is 99960.
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