The smallest number is 2520, the least common multiple (LCM) of 1 to 10. This is calculated using the prime factorizations of these numbers, ensuring it is divisible by all integers in this range.
class 6 Mathematics Textbook Chapter 5 question answer
class 6 Mathematics Chapter 5 Prime Time solutions
To determine the smallest number that is a multiple of all numbers from 1 to 10, compute their least common multiple (LCM). Using prime factorizations, we find that 2, 3, 5, and 7 must be included with appropriate powers. The LCM is 2520, derived from 2³ × 3² × 5 × 7. This number is divisible by every integer from 1 to 10, confirming it as the smallest common multiple for this range.
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