LCM the 3 and also 9 is the smallest number amongst all usual multiples the 3 and also 9. The first few multiples the 3 and also 9 space (3, 6, 9, 12, 15, . . . ) and (9, 18, 27, 36, 45, 54, 63, . . . ) respectively. There room 3 generally used approaches to find LCM of 3 and 9 - by department method, by prime factorization, and also by listing multiples.

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

Answer: LCM that 3 and also 9 is 9.

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Explanation:

The LCM of two non-zero integers, x(3) and y(9), is the smallest hopeful integer m(9) that is divisible through both x(3) and y(9) without any remainder.


Let's look in ~ the different methods because that finding the LCM that 3 and also 9.

By division MethodBy prime Factorization MethodBy Listing Multiples

LCM that 3 and 9 by department Method

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To calculate the LCM the 3 and 9 by the division method, we will divide the numbers(3, 9) by their prime factors (preferably common). The product of this divisors offers the LCM of 3 and 9.

Step 3: continue the procedures until only 1s room left in the critical row.

The LCM of 3 and 9 is the product of all prime numbers on the left, i.e. LCM(3, 9) by department method = 3 × 3 = 9.

LCM of 3 and 9 by prime Factorization

Prime administrate of 3 and 9 is (3) = 31 and (3 × 3) = 32 respectively. LCM of 3 and 9 can be obtained by multiplying prime determinants raised to their respective greatest power, i.e. 32 = 9.Hence, the LCM the 3 and 9 by element factorization is 9.

LCM of 3 and also 9 by Listing Multiples

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To calculate the LCM of 3 and 9 by listing the end the usual multiples, we have the right to follow the given below steps:

Step 1: list a couple of multiples that 3 (3, 6, 9, 12, 15, . . . ) and also 9 (9, 18, 27, 36, 45, 54, 63, . . . . )Step 2: The typical multiples native the multiples that 3 and 9 are 9, 18, . . .Step 3: The smallest usual multiple the 3 and also 9 is 9.

∴ The least usual multiple of 3 and also 9 = 9.

☛ likewise Check:


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FAQs on LCM that 3 and also 9

What is the LCM that 3 and also 9?

The LCM the 3 and 9 is 9. To discover the least typical multiple (LCM) the 3 and also 9, we require to discover the multiples of 3 and 9 (multiples the 3 = 3, 6, 9, 12; multiples the 9 = 9, 18, 27, 36) and also choose the the smallest multiple the is exactly divisible by 3 and 9, i.e., 9.

What are the approaches to find LCM that 3 and 9?

The frequently used techniques to find the LCM the 3 and also 9 are:

Division MethodPrime administer MethodListing Multiples

What is the the very least Perfect Square Divisible by 3 and also 9?

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

Which the the complying with is the LCM that 3 and 9? 15, 9, 2, 42

The value of LCM of 3, 9 is the smallest typical multiple the 3 and also 9. The number satisfying the given problem is 9.

If the LCM that 9 and 3 is 9, uncover its GCF.

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LCM(9, 3) × GCF(9, 3) = 9 × 3Since the LCM the 9 and also 3 = 9⇒ 9 × GCF(9, 3) = 27Therefore, the GCF (greatest typical factor) = 27/9 = 3.