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What is gretest 5 digit number which when divided by 2,3,4 and 5 leaves remainder 1?
Most Upvoted Answer
What is gretest 5 digit number which when divided by 2,3,4 and 5 leave...
LCM of(2, 3,4,5) =60
largest 5 digit number=99999
the largest 5 digit number divisible by 60=
99960
add 1 to this number=99960+1=99961
This number would leave the remainder as 1 when divided by 2,3,4,5.
largest 5 digit number=99999
the largest 5 digit number divisible by 60=
99960
add 1 to this number=99960+1=99961
This number would leave the remainder as 1 when divided by 2,3,4,5.
Community Answer
What is gretest 5 digit number which when divided by 2,3,4 and 5 leave...
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Find the greatest 5-digit number
To find the greatest 5-digit number that satisfies the given conditions, we need to consider the multiples of the LCM of 2, 3, 4, and 5 which is 60.
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Largest 5-digit number divisible by 60
To find the largest 5-digit number divisible by 60, we divide 99999 by 60 and get the quotient as 1666 with a remainder of 39. Therefore, the largest 5-digit number divisible by 60 is 1666 * 60 = 99960.
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Adding 1 to the number
Since the number should leave a remainder of 1 when divided by 2, 3, 4, and 5, we need to add 1 to the largest 5-digit number divisible by 60.
99960 + 1 = 99961
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Verification
To verify whether 99961 satisfies the given conditions, we divide it by 2, 3, 4, and 5.
99961 leaves a remainder of 1 when divided by 2, 3, 4, and 5, confirming that it is the greatest 5-digit number that fulfills the given criteria.
Therefore, the greatest 5-digit number that leaves a remainder of 1 when divided by 2, 3, 4, and 5 is 99961.
Find the greatest 5-digit number
To find the greatest 5-digit number that satisfies the given conditions, we need to consider the multiples of the LCM of 2, 3, 4, and 5 which is 60.
-
Largest 5-digit number divisible by 60
To find the largest 5-digit number divisible by 60, we divide 99999 by 60 and get the quotient as 1666 with a remainder of 39. Therefore, the largest 5-digit number divisible by 60 is 1666 * 60 = 99960.
-
Adding 1 to the number
Since the number should leave a remainder of 1 when divided by 2, 3, 4, and 5, we need to add 1 to the largest 5-digit number divisible by 60.
99960 + 1 = 99961
-
Verification
To verify whether 99961 satisfies the given conditions, we divide it by 2, 3, 4, and 5.
99961 leaves a remainder of 1 when divided by 2, 3, 4, and 5, confirming that it is the greatest 5-digit number that fulfills the given criteria.
Therefore, the greatest 5-digit number that leaves a remainder of 1 when divided by 2, 3, 4, and 5 is 99961.
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What is gretest 5 digit number which when divided by 2,3,4 and 5 leaves remainder 1?
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What is gretest 5 digit number which when divided by 2,3,4 and 5 leaves remainder 1? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about What is gretest 5 digit number which when divided by 2,3,4 and 5 leaves remainder 1? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is gretest 5 digit number which when divided by 2,3,4 and 5 leaves remainder 1?.
What is gretest 5 digit number which when divided by 2,3,4 and 5 leaves remainder 1? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about What is gretest 5 digit number which when divided by 2,3,4 and 5 leaves remainder 1? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is gretest 5 digit number which when divided by 2,3,4 and 5 leaves remainder 1?.
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