The number is 2520 ÷ 7 = 360. The least common multiple (LCM) of 1 to 10 is 2520. Excluding 7, we divide by 7 to obtain 360, the smallest valid number.
class 6 Mathematics Textbook Chapter 5 question answer
class 6 Mathematics Chapter 5 Prime Time solutions
The least common multiple (LCM) of all numbers from 1 to 10 is 2520, found by considering their prime factorizations. To exclude 7, divide 2520 by 7, yielding 360. This number is divisible by all integers from 1 to 10 except 7, satisfying the condition. The prime factorization of 360 further confirms this: 360 = 2 × 2 × 2 × 3 × 3 × 5, excluding 7 as a factor.
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