Smallest number divisible by 1 to 10
Math Facts: 7
Smallest number divisible by 1 to 10
Smallest number divisible by 1 to 10
Learn why 2520 the smallest number exactly divided by all the numbers from 1 to 10. Discover fascinating math facts and more on our website!
Mathematics is filled with interesting and surprising facts that often leave us in awe. One such fascinating fact is about the smallest number that can be exactly divided by all the numbers from 1 to 10, which is 2,520. This number the Least Common Multiple (LCM) of the numbers 1 through 10. To understand why 2,520 holds this unique property, we need to consider the prime factorization of each number in this range. The LCM found by taking the highest power of each prime number that appears in these factorizations.
For the numbers 1 to 10, the prime factorizations include 2^3 (from 8), 3^2 (from 9), 5 (from 5), and 7 (from 7). Multiplying these together gives us 2^3 * 3^2 * 5 * 7 = 2,520. This ensures that 2,520 the smallest number that divided by each number from 1 to 10 without leaving a remainder. This fact is a perfect example of the elegance and interconnectedness found in mathematical concepts. Discover more intriguing math facts and enhance your understanding of mathematics by exploring our website!
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