Question

find the lcm and hcf of 174, 464 using prime factorization method and verify that lcm × hcf= product of two number. Show the process plz ​

Answer 1

Step-by-step explanation:

2 174

3 87

29 29

1

2 464

2 232

2 116

2 58

29 29

1

174=2×3×29

464=2×2×2×2×29

HCF(174,464)=2×29 =58

LCM(174,464)=2⁴×3×29 =1392

To verify,

HCF×LCM=Product of two numbers

58×1392=174×464

80736 =80736

Hence, verified.