Find the least common multiple (LCM) of 30, 13, 180, and 234.

Find the least common multiple (LCM) of 30, 13, 180, and 234.
30, 13, 180, और 234 का लघुत्तम समापवर्त्य (LCM) ज्ञात कीजिए।

2291 2340 2379 2409

Detailed Solution & Logic

Correct Answer:

2340

Prime factorization:

30 = $2 \times 3 \times 5$
13 = $13$
180 = $2^2 \times 3^2 \times 5$
234 = $2 \times 3^2 \times 13$

Take highest powers of all primes:

$2^2, 3^2, 5, 13$

LCM:
$= 2^2 \times 3^2 \times 5 \times 13$

$= 4 \times 9 \times 5 \times 13$

$= 2340$

✅ Final Answer: 2340

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