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| 1. |
HCF and LCM of 288,360 by prime factorisation method |
| Answer» Given numbers are 288, 360288 = 2 {tex}\\times{/tex} 2 {tex}\\times{/tex} 2 {tex}\\times{/tex} 2 {tex}\\times{/tex} 2 {tex}\\times{/tex} 3 {tex}\\times{/tex} 3 = 25{tex}\\times{/tex} 32360 = 2 {tex}\\times{/tex} 2 {tex}\\times{/tex} 2 {tex}\\times{/tex} 3 {tex}\\times{/tex} 3 {tex}\\times{/tex} 5 = 23{tex}\\times{/tex}32{tex}\\times{/tex}5The HCF = the product of their common prime factor with least exponents.{tex}\\therefore{/tex} HCF = 23{tex}\\times{/tex}32 = 48.The LCM is product of all prime factors with their highest exponents.{tex}\\therefore{/tex} LCM of 288, 360 = 25{tex}\\times{/tex}32\xa0{tex}\\times{/tex}5 = 1440 | |