The LCM of 40, 20, 195 and 160 is:
The LCM of 40, 20, 195 and 160 is:
40, 20, 195 और 160 का लघुत्तम समापवर्त्य (LCM) ज्ञात कीजिए।
Detailed Solution & Logic
Correct Answer:
6240
Prime factorization:
$40 = 2^3 \times 5$
$20 = 2^2 \times 5$
$195 = 3 \times 5 \times 13$
$160 = 2^5 \times 5$
Now take the highest powers of all prime factors:
Highest power of 2 = $2^5$
Highest power of 3 = 3
Highest power of 5 = 5
Highest power of 13 = 13
So,
$\text{LCM} = 2^5 \times 3 \times 5 \times 13$
$= 32 \times 3 \times 5 \times 13$
$= 96 \times 5 \times 13$
$= 480 \times 13$
= 6240
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