LCM the 9 and 15 is the smallest number amongst all common multiples that 9 and 15. The first few multiples of 9 and 15 room (9, 18, 27, 36, 45, . . . ) and also (15, 30, 45, 60, 75, 90, . . . ) respectively. There are 3 commonly used techniques to find LCM of 9 and also 15 - by prime factorization, by division method, and also by listing multiples.

You are watching: Common multiples of 9 and 15

1.LCM the 9 and 15
2.List of Methods
3.Solved Examples
4.FAQs

Answer: LCM the 9 and also 15 is 45.

*

Explanation:

The LCM of two non-zero integers, x(9) and y(15), is the smallest confident integer m(45) the is divisible by both x(9) and y(15) without any kind of remainder.


Let's look at the various methods because that finding the LCM the 9 and also 15.

By division MethodBy element Factorization MethodBy Listing Multiples

LCM the 9 and also 15 by department Method

*

To calculation the LCM the 9 and also 15 by the department method, we will divide the numbers(9, 15) by your prime determinants (preferably common). The product of this divisors gives the LCM the 9 and also 15.

Step 3: proceed the procedures until only 1s are left in the last row.

The LCM the 9 and 15 is the product of every prime numbers on the left, i.e. LCM(9, 15) by division method = 3 × 3 × 5 = 45.

LCM of 9 and 15 by element Factorization

Prime administrate of 9 and also 15 is (3 × 3) = 32 and also (3 × 5) = 31 × 51 respectively. LCM the 9 and 15 deserve to be obtained by multiply prime determinants raised to your respective greatest power, i.e. 32 × 51 = 45.Hence, the LCM that 9 and also 15 by element factorization is 45.

LCM that 9 and also 15 by Listing Multiples

*

To calculation the LCM that 9 and 15 by listing out the typical multiples, we have the right to follow the given listed below steps:

Step 1: perform a couple of multiples that 9 (9, 18, 27, 36, 45, . . . ) and also 15 (15, 30, 45, 60, 75, 90, . . . . )Step 2: The typical multiples native the multiples the 9 and 15 room 45, 90, . . .Step 3: The smallest typical multiple of 9 and 15 is 45.

∴ The least typical multiple that 9 and 15 = 45.

☛ also Check:


*


FAQs ~ above LCM of 9 and also 15

What is the LCM that 9 and 15?

The LCM the 9 and also 15 is 45. To discover the LCM of 9 and also 15, we require to find the multiples that 9 and 15 (multiples of 9 = 9, 18, 27, 36 . . . . 45; multiples the 15 = 15, 30, 45, 60) and also choose the smallest multiple that is precisely divisible through 9 and 15, i.e., 45.

What is the Relation in between GCF and also LCM that 9, 15?

The following equation deserve to be offered to to express the relation in between GCF and LCM the 9 and also 15, i.e. GCF × LCM = 9 × 15.

Which that the following is the LCM of 9 and 15? 21, 45, 18, 30

The worth of LCM the 9, 15 is the smallest usual multiple the 9 and also 15. The number to solve the given condition is 45.

If the LCM that 15 and 9 is 45, uncover its GCF.

LCM(15, 9) × GCF(15, 9) = 15 × 9Since the LCM that 15 and also 9 = 45⇒ 45 × GCF(15, 9) = 135Therefore, the GCF = 135/45 = 3.

See more: What Is 20 Percent Of 750 ? = 150 20 Percent Off 750 Calculator

What is the the very least Perfect Square Divisible by 9 and also 15?

The least number divisible by 9 and 15 = LCM(9, 15)LCM of 9 and 15 = 3 × 3 × 5 ⇒ least perfect square divisible by each 9 and 15 = LCM(9, 15) × 5 = 225 Therefore, 225 is the compelled number.