find the HCF and LCM of 105,120 and 150 by prime factorisation.

find the HCF and LCM of 105,120 and 150 by prime factorisation.

Answer

[tex]105|5\\.
\ 21|3\\.
\ \ 7|7\\.
\ \ 1|\\\\105=5\times3\times7\\\\120|2\\.
\ 60|2\\.
\ 30|2\\.
\ 15|3\\.
\ \ 5|5\\.
\ \ 1|\\\\120=2^2\times3\times5[/tex] [tex]150|2\\.
\ 75|3\\.
\ 25|5\\.
\ \ 5|5\\.
\ \ 1|\\\\150=2\times3\times5^2\\\\HCF(105\ 120\ 150)=5\times3=15\\\\LCM(105\ 120\ 150)=2^3\times3\times5^2\times7=4200[/tex]