Question

find the smallest number that is divisible by 3,4,5,6,10and 15​

Answer 1

Answer:

12

Step-by-step explanation:

12 is divisible by / 2

12 is divisible by / 3

12 is divisible by/ 4

12 is divisible by / 6

12 is divisible by / 12

Answer 2

Given,

The numbers: 3,4,5,6,10 and 15

To find,

The smallest number that is divisible by 3,4,5,6,10 and 15.

Solution,

The smallest number that is divisible by 3,4,5,6,10 and 15 will be 60.

We can easily solve this problem by following the given steps.

We know that the smallest number that can be divided by the given numbers can only be found by taking their least common multiple (LCM). So, we will find their LCM using the prime factorisation method.

According to the question,

The numbers: 3,4,5,6,10 and 15

3 = 3×1

4 = 2×2

5 = 5×1

6 = 2×3

10 = 2×5

15 = 3×5

Now, the numbers that are common in two or more than two numbers will be written only ones.

3×2×2×5

6×10

60

Hence, the smallest number that is divisible by 3,4,5,6,10 and 15 is 60.