lcm(6, 12, 9, 15) = 180
6 = 2 x 3
12 = 2^2 x 3
9 = 3^2
15 = 3 x 5
lcm = 2^2 x 3^2 x 5 = 180
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The LCM is 36.
To find the Least Common Multiple (LCM) of 12, 9, and 15, we first need to find the prime factorization of each number. The prime factorization of 12 is 2^2 * 3, the prime factorization of 9 is 3^2, and the prime factorization of 15 is 3 * 5. To find the LCM, we take the highest power of each prime factor that appears in any of the numbers: 2^2 * 3^2 * 5 = 180. Therefore, the LCM of 12, 9, and 15 is 180.
9 and 6 9+6 = 15 9-6 = 3
GCF = 3 LCM = 18 Factors of 9: 1, 3, 9 Factors of 6: 1, 2, 3, 6 Multiples of 9: 9, 18 Multiples of 6: 6, 12, 18
The LCM is: 90