R. D. Sharma Solutions for Chapter: Real Numbers, Exercise 4: EXERCISE 1.4

Find the $\mathrm{LCM}$ and $\mathrm{HCF}$ of $26, 91$ and verify that $\mathrm{LCM}\times \mathrm{HCF}=\mathrm{Product} \mathrm{of} \mathrm{integers}$.

Find the $\text{L.C.M}$ and $\text{H.C.F}$ of the following pair of integers and verify that $\text{L.C.M}\times \text{ H.C.F}=\text{Product of integers}$.

$510$ and $92$

Find the LCM and HCF of the following pairs of integers and verify that HCF$\times$LCM$=$Product of the numbers.

$336$ and $54$

Find the LCM and HCF of the following pair of integers and verify that H.C.F$\times$L.C.M$=$Product of numbers.

$404$ and $96$

Determine the number nearest to $110000$ but greater than $100000$ which is exactly divisible by each of $8, 15$ and $21$.

Find the least number that is divisible by all the numbers between $1$ and $10$ (Both inclusive).

The circular field has a circumference of $360 \mathrm{km}$. Three cyclists start together and can cycle $48 \mathrm{km},$ $60 \mathrm{km}$ and $72 \mathrm{km}$ a day around the field. In how many days will they meet again? 

In a morning walk three persons step off together, their steps measure $80 \mathrm{cm}$, $85 \mathrm{cm}$ and $90 \mathrm{cm}$, respectively. What is the minimum distance each should walk so that he can cover the distance in complete steps? 
If the minimum distance is $k \mathrm{cm}$, find $k$?