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| 1. |
Using prime factisation, find the HCF and LCM of 396,1080 |
| Answer» 396, 1080Prime factorization:{tex}396 = 2 ^ { 2 } \\times 3 ^ { 2 } \\times 11{/tex}{tex}1080 = 2 ^ { 3 } \\times 3 ^ { 3 } \\times 5{/tex}HCF = product of smallest power of each common prime factor in the numbers {tex}= 2 ^ { 2 } \\times 3 ^ { 2 } = 36{/tex}LCM = product of greatest power of each prime factor involved in the numbers {tex}= 2 ^ { 3 } \\times 3 ^ { 3 } \\times 5 \\times 11 = 11880{/tex} | |