hcf and lcm of 18, 16 and 32 with proper explanation.
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first write the prime factors of 18, 16 and 32
18= 2×3×3
16= 2×2×2×2
32= 2×2×2×2×2
now we can write,
18= 2¹×3²
16= 2⁴
32= 2⁵
here, 2¹ is the smallest power common prime factor 2.
So, HCF (18,16,32) = 2
2⁵and 3² are the greatest power of prime factors 2 and 3 respectively involved in three numbers.
So, LCM (18,16,32) = 2⁵× 3² = 288
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