Question
Download Solution PDFFind the least number which when divided by 4, 6, 8, 10 and 12 leaves the remainder 3 in all cases.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Find the least number which when divided by 4, 6, 8, 10 and 12 leaves the remainder 3 in all cases.
Formula used:
Least Common Multiple (LCM)
Calculation:
LCM of (4, 6, 8, 10, 12) = ?
Prime factors:
4 = 22
6 = 2 × 3
8 = 23
10 = 2 × 5
12 = 22 × 3
LCM = 23 × 3 × 5 = 8 × 3 × 5 = 120
Required number = LCM + 3
⇒ 120 + 3 = 123
∴ The correct answer is option (4).
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