Question

find hcf and lcm of 144,96,54 by prime factorization ​

Answer 1

Answer:

Using the factor tree for the prime factorisation of 144, 96 and 54, we have

\(144=16\times 9=2^4\times3^2\)

\(96=32\times 3=2^5\times 3^1\)

\(54=2\times 27=2^1\times 3^3\)

To find the HCF, we list the common factors and their least exponents in 144, 96 and 54 as follows:

\(\therefore\) HCF of 144, 96 and 54 \(=2^1\times 3^1=6\)

Answer 2

Step-by-step explanation:

144=2×2×2×2×3×3=2^4×3^2

96=2×2×2×2×2×3=2^5×3

54=2×3×3×3=2×3^3

HCF=2×3=6

LCM=2^5×3^3=32×27=864