Question
1.
2.
3.
4.
Answer (Detailed Solution Below)
Option 3 : $180$ / $180$
Advertisement
Detailed Solution
सही उत्तर $180$ / $180$ है।
Key Points
Helpful?
prepsnap.in • Part -AQuestion:
The LCM of $12$, $18$ and $30$ is — / $12$, $18$ और $30$ का लघुत्तम समापवर्त्य (LCM) क्या है —
1.
$90$ / $90$
2.
$120$ / $120$
3.
$180$ / $180$
4.
$360$ / $360$
Correct Answer: $180$ / $180$
$12 = 2^2 \times 3$, $18 = 2 \times 3^2$, $30 = 2 \times 3 \times 5$; the LCM takes the highest power of each prime, $2^2 \times 3^2 \times 5 = 180$. / $12 = 2^2 \times 3$, $18 = 2 \times 3^2$, $30 = 2 \times 3 \times 5$; लघुत्तम समापवर्त्य हेतु प्रत्येक अभाज्य की अधिकतम घात लेने पर $2^2 \times 3^2 \times 5 = 180$ मिलता है।
Downloaded from PrepSnap (prepsnap.in)