LCM the 9 and 10 is the smallest number amongst all typical multiples the 9 and also 10. The first few multiples that 9 and also 10 are (9, 18, 27, 36, 45, 54, 63, . . . ) and (10, 20, 30, 40, . . . ) respectively. There room 3 frequently used approaches to discover LCM that 9 and also 10 - by element factorization, by department method, and also by listing multiples.

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1.LCM the 9 and 10
2.List the Methods
3.Solved Examples
4.FAQs

Answer: LCM of 9 and also 10 is 90.

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Explanation:

The LCM of 2 non-zero integers, x(9) and y(10), is the smallest hopeful integer m(90) the is divisible by both x(9) and also y(10) without any remainder.


Let's look at the different methods for finding the LCM of 9 and 10.

By prime Factorization MethodBy Listing MultiplesBy department Method

LCM the 9 and 10 by element Factorization

Prime administrate of 9 and also 10 is (3 × 3) = 32 and also (2 × 5) = 21 × 51 respectively. LCM of 9 and also 10 can be acquired by multiply prime components raised to your respective highest power, i.e. 21 × 32 × 51 = 90.Hence, the LCM the 9 and also 10 by element factorization is 90.

LCM of 9 and 10 by Listing Multiples

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To calculate the LCM that 9 and also 10 by listing the end the usual multiples, we can follow the given below steps:

Step 1: perform a couple of multiples the 9 (9, 18, 27, 36, 45, 54, 63, . . . ) and 10 (10, 20, 30, 40, . . . . )Step 2: The usual multiples from the multiples the 9 and also 10 room 90, 180, . . .Step 3: The smallest typical multiple the 9 and also 10 is 90.

∴ The least typical multiple the 9 and also 10 = 90.

LCM the 9 and 10 by department Method

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To calculate the LCM that 9 and also 10 by the department method, we will divide the numbers(9, 10) by their prime factors (preferably common). The product of this divisors offers the LCM the 9 and 10.

Step 3: proceed the actions until only 1s are left in the critical row.

The LCM of 9 and 10 is the product of all prime numbers on the left, i.e. LCM(9, 10) by department method = 2 × 3 × 3 × 5 = 90.

☛ additionally Check:


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FAQs ~ above LCM of 9 and 10

What is the LCM the 9 and also 10?

The LCM of 9 and 10 is 90. To uncover the LCM that 9 and 10, we need to uncover the multiples the 9 and also 10 (multiples of 9 = 9, 18, 27, 36 . . . . 90; multiples that 10 = 10, 20, 30, 40 . . . . 90) and also choose the the smallest multiple that is exactly divisible by 9 and also 10, i.e., 90.

If the LCM of 10 and 9 is 90, discover its GCF.

LCM(10, 9) × GCF(10, 9) = 10 × 9Since the LCM of 10 and also 9 = 90⇒ 90 × GCF(10, 9) = 90Therefore, the greatest common factor (GCF) = 90/90 = 1.

What is the Relation in between GCF and LCM of 9, 10?

The following equation deserve to be offered to express the relation between GCF and LCM of 9 and also 10, i.e. GCF × LCM = 9 × 10.

See more: Reduce 50/100 In Simplest Form, What Is 50/100 Simplified

What is the least Perfect Square Divisible through 9 and also 10?

The the very least number divisible through 9 and also 10 = LCM(9, 10)LCM the 9 and 10 = 2 × 3 × 3 × 5 ⇒ least perfect square divisible by each 9 and also 10 = LCM(9, 10) × 2 × 5 = 900 Therefore, 900 is the compelled number.

What space the approaches to find LCM that 9 and also 10?

The typically used techniques to find the LCM that 9 and 10 are: