Question:
Which of the following numbers is the smallest number that is completely divisible by all of the given numbers 2, 3, 4, 5, 6, 7, 8, 9 and 10?
Which of the following numbers is the smallest number that is completely divisible by all of the given numbers 2, 3, 4, 5, 6, 7, 8, 9 and 10?
Updated On: Mar 5, 2025
- 1260
- 2520
- 5040
- 362880
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The Correct Option is B
Solution and Explanation
Step 1: To find the smallest number divisible by all these numbers, we need to find the least common multiple (LCM).
The LCM of 2, 3, 4, 5, 6, 7, 8, 9, and 10 is:
\[\text{LCM}(2,3,4,5,6,7,8,9,10) = 2520.\]
Conclusion: The smallest number divisible by all these numbers is 2520.
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