Question
Download Solution PDFWhat is the least number which, when divided by 5, 6, 8 and 10 leaves a remainder of 2 in each case?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The least number which when divided by 5, 6, 8, and 10 leaves a reminder 2.
Concept used:
For the least number take LCM, also have to check that all conditions are satisfying or not.
For the same remainder in each case add the remainder with the LCM.
Calculation:
LCM of 5, 6, 8, 10
5 = 5 × 1
6 = 2 × 3 × 1
8 = 2 × 2 × 2
10 = 2 × 5
LCM = 2 × 2 × 2 × 3 × 5 = 120
For same remainder, we have to add 2 to LCM = (120 + 2) = 122
∴ The answer is 122.
Last updated on Jul 10, 2025
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