Question
Download Solution PDFFind the LCM of 12, 18, 20, 25.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Find the LCM of 12, 18, 20, 25.
Formula used:
LCM (Least Common Multiple) is the smallest number that is a multiple of two or more numbers.
Calculation:
Prime factorization of each number:
12 = 22 × 3
18 = 2 × 32
20 = 22 × 5
25 = 52
LCM is found by taking the highest power of all prime numbers:
LCM = 22 × 32 × 52
⇒ LCM = 4 × 9 × 25
⇒ LCM = 36 × 25
⇒ LCM = 900
∴ The correct answer is option 3.
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