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Problem: Find the least number which when divided by 6,7, 8, 9,12 leaves the same remainder 2 in each case. [ Calculator, Method and examples ]

Solution:
Your problem `->` Find the least number which when divided by 6,7, 8, 9,12 leaves the same remainder 2 in each case.


`"Required number" = ( "LCM of " 6,7,8,9,12 ) + 2 = 504 + 2 = 506`.

2678912
237496
237293
337193
317131
717111
 11111

LCM of 6,7,8,9,12 = 2 × 2 × 2 × 3 × 3 × 7 = 504





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