Question:
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
Solution:
(c) 2520
We have to find the least number that is divisible by all numbers from 1 to 10.
$\therefore$ 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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