Tamil Nadu Board Solutions for Chapter: Numbers, Exercise 6: Exercise 1.2

Find the LCM of given set of numbers using prime factorisation method:

$30, 40, 60$

Find the LCM of given set of numbers using prime factorisation method.

$15, 25, 75$

Find the HCF and the LCM of the numbers $154, 198$ and $286$.

What is the greatest possible volume of a vessel that can be used to measure exactly the volume of milk in cans (in full capacity) of $80 \mathrm{litres}, 100 \mathrm{litres}$ and $120 \mathrm{litres}$?

The traffic lights at three different road junctions change after every $40$ Seconds, $60$ Seconds and $72$ Seconds respectively. If they changed simultaneously together at $8 \mathrm{a}.\mathrm{m}$ at the junctions, at what time will they simultaneously change together again?

The LCM of two numbers is $210$ and their HCF is $14$. How many such pairs are possible?

The LCM of two numbers is $6$ times their HCF. If the HCF is $12$ and one of the numbers is $36$, then find the other number.

What is the greatest number that will divide $62,78$ and $109$ leaving remainders $2,3$ and $4$ respectively?