Question

which of the following is the least number exactly divisible by 15,25,30,45?​

Answer 1

Answer:

lcm of 15,25,30,45 is 450

Answer 2

The least number exactly divisible by 15,25,30,45 is 450.

Given:

The numbers 15,25,30,45.

To Find:

We have to find which of the following is the least number exactly divisible by 15,25,30,45.

Solution:

This is a problem for the LCM.

Let us tackle the problem.

We can easily solve this problem as follows,

We know that,

The least number exactly divisible by a, b, c, and d is LCM(a,b,c,d).

Therefore, the least number exactly divisible by 15,25,30,45 is LCM(15,25,30,45).

Now,

15=3×5

25=5×5

30=2×3×5

45=3×3×5

Therefore, LCM(15,25,30,45)=3×3×5×5×2=450

Hence, the least number exactly divisible by 15,25,30,45 is 450.

#SPJ3