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Find smappedt 5 digit number which is exactly divided by 21,28,36?
Most Upvoted Answer
Find smappedt 5 digit number which is exactly divided by 21,28,36?
Solution:

To find a 5-digit number that is exactly divisible by 21, 28, and 36, we need to find the least common multiple (LCM) of these three numbers. The LCM is the smallest number that is divisible by all the given numbers.

Finding the LCM:

We can find the LCM of 21, 28, and 36 by prime factorization method. Let's break down each number into its prime factors:

- 21 = 3 * 7
- 28 = 2 * 2 * 7
- 36 = 2 * 2 * 3 * 3

Calculating the LCM:

To find the LCM, we need to take the highest power of each prime factor that appears in any of the given numbers. The LCM is then obtained by multiplying these prime factors together.

The prime factors that appear are:
- 2^2 (highest power of 2)
- 3^2 (highest power of 3)
- 7^1 (highest power of 7)

Now, we multiply these prime factors together:
LCM = 2^2 * 3^2 * 7^1
= 4 * 9 * 7
= 252

Conclusion:

Therefore, the smallest 5-digit number that is exactly divisible by 21, 28, and 36 is 252.
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Find smappedt 5 digit number which is exactly divided by 21,28,36?
Find smallest 5 digit number which is exactly divisible by 21,28,36
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