Find the least common multiple of 12, 36 and 80.
Find the least common multiple of 12, 36 and 80.
12, 36 और 80 का लघुतम समापवर्त्य ज्ञात कीजिए।
Detailed Solution & Logic
Correct Answer:
720
$ 12 = 2^2 \times 3 $
$ 36 = 2^2 \times 3^2 $
$ 80 = 2^4 \times 5 $
$ \text{LCM} = 2^{\max(2,2,4)} \times 3^{\max(1,2,0)} \times 5^{\max(0,0,1)} $
$ = 2^4 \times 3^2 \times 5 $
$ = 16 \times 9 \times 5 $
= 720
Answer: 720
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