Question

find the HCF and LCM of 144,180 and 192 by using prime factorisation method

Answer 1

Answer:

Step-by-step explanation:

By prime factorization method,

144= 2×2×2×2×3×3

180= 2×2×3×3×5

192= 2×2×2×2×2×2×3

Hence, HCF = 2×2×3=12

Answer 2

Prime factors of 144=2*2 *2 *2 *2 * 3*3*3
Prime factors of 180=2*2 *2 *3*3*3* 5
Prime factors of 192=2*2 *2 *2 *2 *2 *3

LCM = 2*2 *2 *2 *2 * 3*3*3*2*2 *2 *3*3*3* 5*2*2 *2 *2 *2 *2 *3= 2880

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