LCM and HCF of Expressions

Find the other polynomial $q\left(x\right)$q (x) of each of the following, given that LCM and GCD and one polynomial $p\left(x\right)$ respectively. $2(x+1)(x^2-4),(x+1),(x+1)(x-2)$

Find the other polynomial $q\left(x\right)$ of the following, given that$LCM, GCD$ and one polynomial $p\left(x\right)$respectively. $\left(x^4-y^4\right)\left(x^4+x^2{y}^2+y^4\right), x^2-y^2, x^4-y^4$

Find the HCF of $x^2+x-6, 2x^2+6x, x^2+4x+3$

Find the HCF of $9x^2-3y^2-8yz-4z^2, 4z^2-4y^2-9x^2-12xy$ and $9x^2+12xz+4z^2-4y^2$

LCM of $x^2-y^2, x^2+2xy+y^2$ is 

If two umbers have their HCF as $18$ & if product of the two number is $5832$ & LCM is $324$. Find sum of the two numbers?

Which $4$ digit number grater than. $2500$ but less than $1700$ is divesible by $20, 86, 44 \&$ leaves remindeer as in each case.

The fire testing alarms in the IFC Company buzz at different intervals of time, when will All of then sound together if they buzz at intervals of $2 \min , 10 \mathrm{s}, 1.5 \min , 30 \mathrm{s}.$

What is the largest $5$digit number which is divisible by $6,5,17,8, \& 4$

What is the smallest $5$ digit number which is a multiple of $11,5,7, \& 10$?

Find LCM of the following numbers.

$a.) 4^2\times 3^4\times 5^1$

$b.) 3^2\times 7^1\times 2^2$

$c.) 7^2\times 3^4\times 5^2$

$d.) 9^2\times 7^4\times 5^1$

The LCM of two numbers is $860$ & their HCF is $46$ if one of the number is $430$. What is the other number?

The HCF of $2$ numbers is $14$ & their product is $2744,$ how many such pairs are possible?

The HCF of $2$ number is $23$ & the sum of the number is $184$. How many such pairs and possible?

Two numbers have their HCF to be $52$ & LCM to be $1040,$if both numbers are less then $1000,$ what is the sum of the two numbers.

$3$ vessels A,B & C have a solution of wine$+$water, A has $258$ l, B has $215$l & C has $301$l of solution . what biggest measure of vessel can measure all the $3$ quantities exactly?

Find the HCF and LCM of  $0.63, 1.05, \mathrm{and} 2.8.$

Three planets revolve round the Sun once in  $250, 300 \mathrm{and} 350 \mathrm{days}$, respectively in their own orbits. When do they all come relatively to the same position as at a certain point of time in their orbits?

The $\mathrm{LCM}$ of two numbers is $2352$  while their $\mathrm{HCF}$ is $98$. If one of the numbers is $1176$, then the other number is:_____

The HCF of two numbers is $100$  and their LCM is $1000$. The sum of the numbers may be: