23) What is the smallest number that when divided by theree numbers such as 35,36 and al Leaves remainder * in each case
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36 is the correct answer
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Answer: 3647
Step-by-step explanation:
We have to find the smallest number which leaves a remainder [7].
When divided by [35,56,91], we can add [7] to the LCM of numbers [35,56,91]. Thus, we get ultimately [3640+7=3647].
The calculation is as follows:-
The smallest number which when divided by 35, 56 and 91 = LCM(35,56,91)
35=5×7
56=23 ×7
91=7×13
LCM=23 ×5×7×13=3640
Hence, the smallest number which leaves a remainder [7] when it is divided by [35,56,91] is [3647].
Hope it helps!
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