What is the lcm of 15 25 9 8.
Answers
So,here we have to calculate the least common multiple of the numbers 15,25,9,8.
We have to break down every number as a prime number product:
15 = 3·525 = 5² 9 = 3² 8 = 2³
Then,we have to select common and uncommon numbers at the highest power so:
lcm : 2³·3²·5² = 8·9·25 = 1800
Final answer:
The LCM of 15, 25, 9, and 8 is 1800.
Explanation:
The least common multiple (LCM) of 15, 25, 9, and 8 can be found by prime factorizing each number.
15 = 3 * 5
25 = 5 * 5
9 = 3 * 3
8 = 2 * 2 * 2
To find the LCM, we need to take the highest power of each prime factor that appears in the factorization of any of the numbers. In this case, we need to take 2^3, 3^2, and 5^2.
So, the LCM of 15, 25, 9, and 8 is 2^3 * 3^2 * 5^2 = 8 * 9 * 25 = 1800.
Learn more about LCM of numbers here:
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