LCM of 18 and 24 is the the smallest number amongst all common multiples that 18 and also 24. The first couple of multiples the 18 and also 24 are (18, 36, 54, 72, 90, 108, . . . ) and also (24, 48, 72, 96, 120, 144, 168, . . . ) respectively. There space 3 typically used approaches to uncover LCM that 18 and 24 - by listing multiples, by department method, and by prime factorization.

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1.LCM that 18 and also 24
2.List the Methods
3.Solved Examples
4.FAQs

Answer: LCM the 18 and 24 is 72.

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Explanation:

The LCM of 2 non-zero integers, x(18) and y(24), is the smallest hopeful integer m(72) the is divisible by both x(18) and also y(24) without any remainder.


The methods to discover the LCM the 18 and also 24 are defined below.

By Listing MultiplesBy department MethodBy prime Factorization Method

LCM the 18 and 24 by Listing Multiples

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To calculate the LCM the 18 and 24 through listing out the usual multiples, we can follow the given listed below steps:

Step 1: list a couple of multiples of 18 (18, 36, 54, 72, 90, 108, . . . ) and also 24 (24, 48, 72, 96, 120, 144, 168, . . . . )Step 2: The typical multiples from the multiples that 18 and also 24 room 72, 144, . . .Step 3: The smallest common multiple of 18 and also 24 is 72.

∴ The least usual multiple of 18 and also 24 = 72.

LCM of 18 and 24 by division Method

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To calculation the LCM the 18 and also 24 through the department method, we will divide the numbers(18, 24) by their prime factors (preferably common). The product of this divisors gives the LCM that 18 and 24.

Step 3: proceed the steps until only 1s space left in the critical row.

The LCM of 18 and also 24 is the product of all prime number on the left, i.e. LCM(18, 24) by department method = 2 × 2 × 2 × 3 × 3 = 72.

LCM the 18 and 24 by element Factorization

Prime administrate of 18 and 24 is (2 × 3 × 3) = 21 × 32 and (2 × 2 × 2 × 3) = 23 × 31 respectively. LCM the 18 and also 24 deserve to be derived by multiply prime components raised to their respective greatest power, i.e. 23 × 32 = 72.Hence, the LCM that 18 and also 24 by element factorization is 72.

☛ likewise Check:


Example 2: Verify the relationship between GCF and also LCM the 18 and 24.

Solution:

The relation between GCF and LCM of 18 and 24 is provided as,LCM(18, 24) × GCF(18, 24) = Product of 18, 24Prime administrate of 18 and 24 is provided as, 18 = (2 × 3 × 3) = 21 × 32 and also 24 = (2 × 2 × 2 × 3) = 23 × 31LCM(18, 24) = 72GCF(18, 24) = 6LHS = LCM(18, 24) × GCF(18, 24) = 72 × 6 = 432RHS = Product the 18, 24 = 18 × 24 = 432⇒ LHS = RHS = 432Hence, verified.


Example 3: The product of two numbers is 432. If their GCD is 6, what is your LCM?

Solution:

Given: GCD = 6product of numbers = 432∵ LCM × GCD = product of numbers⇒ LCM = Product/GCD = 432/6Therefore, the LCM is 72.The probable mix for the given situation is LCM(18, 24) = 72.


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FAQs on LCM of 18 and 24

What is the LCM the 18 and 24?

The LCM the 18 and also 24 is 72. To discover the LCM (least typical multiple) the 18 and also 24, we need to find the multiples the 18 and also 24 (multiples the 18 = 18, 36, 54, 72; multiples of 24 = 24, 48, 72, 96) and also choose the smallest multiple that is exactly divisible by 18 and also 24, i.e., 72.

What is the Relation in between GCF and LCM of 18, 24?

The following equation deserve to be supplied to refer the relation in between GCF and LCM that 18 and also 24, i.e. GCF × LCM = 18 × 24.

What room the approaches to find LCM that 18 and also 24?

The generally used approaches to find the LCM of 18 and 24 are:

Prime factorization MethodDivision MethodListing Multiples

If the LCM that 24 and also 18 is 72, discover its GCF.

LCM(24, 18) × GCF(24, 18) = 24 × 18Since the LCM the 24 and also 18 = 72⇒ 72 × GCF(24, 18) = 432Therefore, the greatest common factor = 432/72 = 6.

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Which that the following is the LCM the 18 and also 24? 18, 5, 36, 72

The value of LCM of 18, 24 is the smallest typical multiple that 18 and 24. The number solve the given condition is 72.