What is the smallest number that can be divided exactly by 5 and 9
Answers
Answer:
so you need a number divisible by 2, 5 and 9.
If it is divisible by 2 & 5 it must be divisible by 10
if it is divisible by 5 & 9 it must be divisible by 45
it must also be divsible by 2 and 45
The smallest number is 90.
The best method is prime factors - write down the primes with their powers
9 is 32 so the prime factors of this Number N is 21 , 51 , 32
The Lowest common multiple is the product of all of the highest powers of all of the factors - so it will be 2∗5∗32=90
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The smallest number that can be divided exactly by 5 and 9 is 45
Given:
Numbers 5 and 9
To find:
The smallest number that can be divided exactly by 5 and 9
Solution:
The smallest number that can be divided exactly by 5 and 9 will be the Least common multiple of 5 and 9
- Least common multiple or LCM is a number which can be divide by given two number evenly.
- It is also called as Least Common Divisor of the given numbers
To find the Least common multiple of 5 and 9 write them as product of their prime factors
5 = 5 × 1
9 = 3 × 3 × 1
LCM (5, 9) = 5 × 3 × 3 × 1 = 45
Therefore,
The smallest number that can be divided exactly by 5 and 9 is 45
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