The HCF and LCM of three numbers are ${{2}^{2}}\times 3$ and ${{2}^{3}}\times {{3}^{2}}\times 5$

Question

The HCF and LCM of three numbers are ${{2}^{2}}\times 3$ and ${{2}^{3}}\times {{3}^{2}}\times 5$ respectively. Given that two of the numbers are $36$ and $60$, find all the possible values of the third number. The HCF and LCM of three numbers are $15$ and $750$ respectively. Find all the possible values of the third number if two of the numbers are $15$ and $375$.

Accepted Answer

(a) $24,72,120,360$ (b) $30,150,750$

Finding Unknown Numbers from HCF and LCM

Finding Unknown Numbers from HCF and LCM

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