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**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]

##### Virtual Teaching Assistant: John B.

##### Question Level: Basic

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##### Upload Date: 5/31/2017

This 24 words question was answered by John B. on StudySoup on 5/31/2017. The question contains content related to Math Since its upload, it has received 174 views.