Prime Factorization and LCM of Two Numbers

Q. What is the smallest number that is completely divisible by $24$ and $32$?

1. $96$
2. $48$
3. $120$
4. $144$

Q. The fruit vendor sells 18 avocados in one set and 24 kiwis in one set. What is the minimum number of sets of each fruit should Ariana purchase, such that she can distribute the fruits in pairs, having one avocado and one kiwi in each pair?

1. $3$ sets of avocado.
2. $4$ sets of kiwi.
3. $6$ sets of avocado.
4. $12$ sets of kiwi.

Q. Find the LCM of $12$ and $14$.

1. $24$
2. $84$
3. $36$
4. $72$

Q. I am the smallest number which is 3 more than a number which is completely divisible by 15 and 20. Identify me.

Q. There are wallpapers of two different sizes, $6{\text{feet}}^2$ and $8{\text{feet}}^2.$ What should be the minimum area of the wall, which can be fully covered using some identical wallpapers of any of given type?

1. $24{\text{feet}}^2$
2. $12{\text{feet}}^2$
3. $6{\text{feet}}^2$
4. $48{\text{feet}}^2$

Q.

Rashmi was playing with the numbers. She found that a number is divisible by both 7 and 12. What is the least number which is divisble by both?

1. 21
2. 24
3. 84
4. 42

Q.

What is the LCM of a number and one of its factors?