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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.

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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.

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