Question
Download Solution PDFThe LCM of 36, 48, 120 and 300 is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
- The numbers are 36, 48, 120, and 300.
Concept used:
- Prime Factorization
Calculations:
We know that,
Prime factorization of 36 = 2 × 2 × 3 × 3
Prime factorization of 48 = 2 × 2 × 2 × 2 × 3
Prime factorization of 120 = 2 × 2 × 2 × 3 × 5
Prime factorization of 300 = 2 × 2 × 3 × 5 × 5
Now let us pair the common prime factors to get the L.C.M.
L.C.M of 36, 48, 120, and 300 = 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 = 3600
Therefore, the correct answer is option 3.
Last updated on Jul 11, 2025
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