Question

Find the LCM and HCF of the following pairs of integers and verify that LCM $\times$ HCF $=$ Product of the integers:
(i) $26$ and $91$ (ii) $510$ and $92$ (iii) $336$ and $54$

Answer 1

1) $26=2\times 13$ and $91=1\times 91$

$\text{HCF}=1$ and $\text{LCM}=2\times 13\times 91=2366$

verification: $1\times 2366=26\times 91\Rightarrow 2366=2366$

2) $510=2\times 3\times 5\times 17$ and $92=2^2\times 23$

$\text{HCF}=2$ and $\text{LCM}=2^2\times 3\times 5\times 17\times 23=23460$

verification: $2\times 23460=92\times 510\Rightarrow 46920=46920$

3) $54=2\times 3^3$ and $336=2^4\times 3\times 7$

$\text{HCF}=6$ and $\text{LCM}=2^4\times 3^3\times 7=3024$

verification: $6\times 3024=336\times 54\Rightarrow 18144=18144$