Find the least number wch when divided by 16,18,21 leaves a remainder 3,5,8 respectively
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subtract 3,5,8 from 16,18,21 respectively then find the HCF by factorisation method
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Answer: 995
Step-by-step explanation:
Since, 16 - 3 = 18 - 5 = 21 - 8 = 13
Thus, The least number which when divided by 16,18,21 leaves a remainder 3,5,8
= L.C.M.( 16, 18, 21 ) - 13
Since, 16 = 2 × 2 × 2 × 2
18 = 2 × 3 × 3
21 = 3 × 7
⇒ L.C.M.( 16, 18, 21 ) = 2 × 2 × 2 × 2 × 3 × 3 × 7 = 1008
Hence, The least number which when divided by 16,18,21 leaves a remainder 3,5,8 = 1008 - 13 = 995.
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