Find the LCM of the numbers 780, 2080 and 2600.
31200
Write each number as a product of prime factors.
\(780 = 2^2 \times 3 \times 5 \times 13\).
\(2080 = 2^5 \times 5 \times 13\).
\(2600 = 2^3 \times 5^2 \times 13\).
The LCM takes the highest power of each prime: \(2^5 \times 3 \times 5^2 \times 13\).
\(= 32 \times 3 \times 25 \times 13 = 31200\).
Hence, the LCM is 31200.
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