LCM the 9 and also 11 is the smallest number among all common multiples of 9 and 11. The first few multiples of 9 and also 11 are (9, 18, 27, 36, 45, 54, . . . ) and (11, 22, 33, 44, 55, . . . ) respectively. There space 3 typically used methods to discover LCM of 9 and 11 - by prime factorization, by department method, and by listing multiples.

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1.LCM that 9 and also 11
2.List of Methods
3.Solved Examples
4.FAQs

Answer: LCM that 9 and also 11 is 99.

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Explanation:

The LCM of 2 non-zero integers, x(9) and y(11), is the smallest positive integer m(99) that is divisible by both x(9) and y(11) without any type of remainder.


The methods to discover the LCM the 9 and also 11 are defined below.

By division MethodBy element Factorization MethodBy Listing Multiples

LCM of 9 and 11 by department Method

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To calculate the LCM the 9 and 11 by the department method, we will divide the numbers(9, 11) by your prime components (preferably common). The product of these divisors provides the LCM that 9 and also 11.

Step 3: proceed the measures until just 1s space left in the last row.

The LCM the 9 and also 11 is the product of all prime numbers on the left, i.e. LCM(9, 11) by department method = 3 × 3 × 11 = 99.

LCM that 9 and also 11 by prime Factorization

Prime administrate of 9 and also 11 is (3 × 3) = 32 and (11) = 111 respectively. LCM that 9 and 11 have the right to be obtained by multiply prime components raised to your respective highest power, i.e. 32 × 111 = 99.Hence, the LCM the 9 and also 11 by element factorization is 99.

LCM the 9 and 11 through Listing Multiples

To calculate the LCM that 9 and also 11 by listing the end the typical multiples, we have the right to follow the given below steps:

Step 1: list a few multiples of 9 (9, 18, 27, 36, 45, 54, . . . ) and 11 (11, 22, 33, 44, 55, . . . . )Step 2: The typical multiples native the multiples the 9 and also 11 space 99, 198, . . .Step 3: The smallest usual multiple that 9 and also 11 is 99.

∴ The least typical multiple that 9 and also 11 = 99.

☛ likewise Check:


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FAQs ~ above LCM that 9 and 11

What is the LCM the 9 and also 11?

The LCM of 9 and 11 is 99. To find the least typical multiple that 9 and also 11, we require to find the multiples the 9 and 11 (multiples of 9 = 9, 18, 27, 36 . . . . 99; multiples that 11 = 11, 22, 33, 44 . . . . 99) and choose the smallest multiple that is specifically divisible by 9 and also 11, i.e., 99.

Which that the complying with is the LCM that 9 and also 11? 99, 5, 18, 20

The worth of LCM of 9, 11 is the smallest usual multiple the 9 and also 11. The number solve the given condition is 99.

If the LCM the 11 and 9 is 99, uncover its GCF.

LCM(11, 9) × GCF(11, 9) = 11 × 9Since the LCM that 11 and also 9 = 99⇒ 99 × GCF(11, 9) = 99Therefore, the GCF = 99/99 = 1.

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What are the methods to find LCM of 9 and also 11?

The frequently used approaches to find the LCM of 9 and also 11 are:

Division MethodPrime administrate MethodListing Multiples

How to discover the LCM of 9 and 11 by prime Factorization?

To find the LCM that 9 and also 11 using prime factorization, us will discover the element factors, (9 = 3 × 3) and (11 = 11). LCM of 9 and also 11 is the product the prime determinants raised to their respective highest possible exponent among the number 9 and also 11.⇒ LCM the 9, 11 = 32 × 111 = 99.