Justanormalgirl82idn
Answered

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What is the smallest positive integer that is evenly divisible by all integers from 1 to 10?
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Sagot :

AshrieIIeidn

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The answer of [tex]\blue{\underline{\sf\pink{2520}}}[/tex] as the smallest positive integer that is evenly divisible by all integers from 1 to 10 is correct.

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[tex]\sf\pink{ᯓ★}[/tex] The prime factorization method shows that the LCM (Least Common Multiple) of the numbers 1 to 10 is 2520, as it contains the highest power of each prime factor that appears in any of the numbers.

[tex]\sf\pink{ᯓ★}[/tex] The "listing multiples" method also arrives at 2520 as the first number that appears in the multiples of all the numbers from 1 to 10.

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Zjuidn

It's simply finding the least common multiple of integers 1 to 10. The easiest way to find the LCM is by listing the primes first.

The primes from 1 to 10 are 2, 3, 5, 7. Then find the highest power of these primes that are less than 10.

The highest powers of these primes are 2³, 3², 5, and 7. Multiply these powers to get the LCM.

The smallest positive integer divisible by all integers from 1 to 10 is

(2³)(3²)(5)(7) = 2,520