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Q.

Find the HCF and LCM of 6, 72 and 120 using the prime factorization method.


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a

8, 365

b

6, 360

c

4, 260

d

2, 165 

answer is B.

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Detailed Solution

Given number are 6, 72, and 120. Factors of these numbers,
6=2×372=2×2×2×3×3120=2×2×2×3×5
Therefore, lowest common multiple,
LCM=3×2×4×3×5 LCM =360 As 2×3 is common in all, So, highest common factor,
HCF⁡6,72,120=2×3
HCF⁡6,72,120=6
Option 2 is correct.
 
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