The smallest number is 2520 ÷ 7 = 360. The least common multiple (LCM) of numbers 1 to 10 is 2520. Excluding 7, dividing 2520 by 7 gives the smallest valid number, 360.
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 except 7, calculate their least common multiple (LCM). The LCM is 2520, derived from the primes 2³, 3², 5, 7. Exclude 7 by dividing: 2520 ÷ 7 = 360. The resulting number, 360, contains all factors of the remaining numbers 1 to 10, making it the smallest valid multiple without 7.
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