Sonal Chauhan
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Find the smallest number that is a multiple of all numbers from 1 to 10.

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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

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  1. 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.

    For more NCERT Solutions for Class 6 Math Chapter 5 Prime Time Extra Questions and Answer:
    https://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-5/

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