What is the smallest number that divides by 35,56 and o1 leaves reminders of 7 in each case
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Correct Question : What is the smallest number that divides by 35,56 and 91 and leaves reminders of 7 in each case?
Solution : Take the L.C.M of 35, 56 and 91
35 = 5 × 7
56 = 8 × 7
91 = 13 × 7
L.C.M = 5 × 8 × 13 × 7
= 3640
______________________________
Since number leave 7 remainder by dividing by each of these numbers,
↓
Number = 3640 + 7
= 3647
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