Question
Download Solution PDFFind the LCM of 90, 128, 144.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Numbers: 90, 128, 144
Formula used:
LCM of multiple numbers is found using prime factorization and taking the highest power of all prime factors.
Calculation:
Prime factorization:
90 = 2 × 32 × 5
128 = 27
144 = 24 × 32
Highest powers of all prime factors:
27, 32, 5
LCM = 27 × 32 × 5
⇒ LCM = 128 × 9 × 5
⇒ LCM = 1152 × 5
⇒ LCM = 5760
∴ The correct answer is option (4).
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