Find the LCM of 5,8 and 9
Mathematics
ScanSolve AI Answer
Step-by-step solution
3 stepsFind the prime factorization of each number.
5 = 5
8 = 2 × 2 × 2 = 2³
9 = 3 × 3 = 3²To find the LCM, take the highest power of each prime factor that appears in any of the factorizations.
The prime factors are 2, 3, and 5.
Highest power of 2 is 2³
Highest power of 3 is 3²
Highest power of 5 is 5¹Multiply these highest powers together.
LCM = 2³ × 3² × 5¹
LCM = 8 × 9 × 5
LCM = 72 × 5
LCM = 360The LCM of 5, 8, and 9 is 360.
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