What is the least number that divisible by all the natural numbers from 1 to 10 (both inclusive)?

(a) 100
(b) 1260
(c) 2520
(d) 5040

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Solution

(c) 2520

We have to find the least number that is divisible by all numbers from 1 to 10.
∴ LCM (1 to 10) = $2^{3} \times 3^{2} \times 5 \times 7 = 2520$
Thus, 2520 is the least number that is divisible by every element and is equal to the least common multiple.

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Question 9
The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is

A) 10
B) 100
C) 504
D) 2520

1

10

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