The smallest number is 27720. It is the least common multiple (LCM) of numbers from 1 to 12, found by multiplying the highest powers of all primes in this range: 2³,3²,5,7,11.
Class 6 NCERT Ganita Prakash Chapter 5 Prime Time
class 6 Mathematics Textbook Chapter 5 question answer
To find the smallest number divisible by all numbers from 1 to 12, calculate their least common multiple (LCM):
• Prime factorizations: 2³ (8), 3² (9), 5, 7, 11
• Multiply: 2³ × 3² × 5 × 7 × 11 = 27720.
This result ensures divisibility by each number, as it incorporates the highest powers of all primes within the range, making 27720 the minimal valid solution.
For more NCERT Solutions for Class 6 Math Chapter 5 Prime Time Extra Questions and Answer:
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