S K Khanuja Solutions for Chapter: Factors and Multiples, Exercise 6: Exercise

Find the LCM of $28, 36, 45, 60$.

For the given pair of numbers, verify that their product $=\mathrm{HCF}\times \mathrm{LCM}$.

$87,145$

For given pair of numbers, verify that their product $=\mathrm{HCF}\times \mathrm{LCM}$.

$186, 403$

The product of two numbers is $2560$ and their LCM is $320$. Find their HCF.

The HCF and LCM of two numbers are $131$ and $8253$ respectively. If one of the numbers is $917$, find the other.

Find the least possible number divisible by $15, 20, 24, 32$ and $36$.

The traffic lights at three different road crossings change after every $48$ seconds, $72$ seconds and $108$ seconds. If they start changing simultaneously at $8 \mathrm{am}$, after how much time will they change again simultaneously?

An electronic device makes a beep after every $15$ minutes. Another device makes a beep after every $20$ minutes. They beeped together at $6 \mathrm{am}$. At what time will they next beep together?