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Q.

Find the smallest number divisible by numbers 2 to 9 (both inclusive) .


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a

2781

b

9050

c

1881

d

2520 

answer is D.

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Detailed Solution

Concept-
LCM is elaborated as Least not unusual a couple of, that's the lowest common aspect among the integers. To discover the LCM of the given numbers, which is divisible by all numbers for which we're locating the LCM, the approach consists of basic factorization of the numbers to discover elements which can be elevated collectively to form more than a few. If the all given numbers are zero for which LCM is being calculated, their LCM can also be zero.
First, discover the elements of the number which might be the range when elevated together offers a unique wide variety.
To locate the bottom commonplace of a couple of the numbers, allow’s discover the factors of the given numbers for which we ought to locate the LCM of each number.
factors are the integers, which, whilst multiplied, effects within the original quantity best. First, locate the elements of numbers 2,3,4,5,6,7,8,9
2=2×1 3=3×1 4=2×2×1 5=5×1 6=3×2×1 7=7×1 8=2×2×2×1 9=3×3×1 The unique (single) common multiple between all the numbers ranging from 2 to 9 is 7×5×3×3×2×2×2×1
Thus, the LCM of the numbers 2,3,4,5,6,7,8,9 is:
7×5×3×3×2×2×2×1=2520
Hence,  2520 is the number which will be completely divided by any number between 2 to 9.
Hence, the correct option is 4) 2520
 
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