The smallest number is 2520. It is the least common multiple (LCM) of the numbers 1 to 10, calculated using their prime factorizations: 2³ × 3² × 5 × 7 = 2520.
Class 6 Mathematics Ganita Prakash Prime Time
Class 6 Mathematics Chapter 5 Prime Time question answer
To find the smallest number that is a multiple of all numbers from 1 to 10, compute the least common multiple (LCM) using their prime factorizations. The primes involved are 2³ (for 8), 3² (for 9), 5, and 7. Multiplying these gives 2³ × 3² × 5 × 7 = 2520. This result ensures divisibility by each number in the range, confirming it as the smallest valid number.
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