LCM that 20 and also 24 is the smallest number amongst all common multiples that 20 and 24. The first few multiples the 20 and also 24 are (20, 40, 60, 80, . . . ) and also (24, 48, 72, 96, 120, . . . ) respectively. There are 3 typically used approaches to discover LCM of 20 and 24 - by prime factorization, by division method, and by listing multiples.

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1.LCM of 20 and also 24
2.List of Methods
3.Solved Examples
4.FAQs

Answer: LCM the 20 and also 24 is 120.

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Explanation:

The LCM of 2 non-zero integers, x(20) and also y(24), is the smallest hopeful integer m(120) that is divisible through both x(20) and y(24) without any kind of remainder.


Let's look in ~ the various methods for finding the LCM of 20 and 24.

By department MethodBy Listing MultiplesBy prime Factorization Method

LCM of 20 and 24 by division Method

To calculation the LCM of 20 and 24 by the department method, we will certainly divide the numbers(20, 24) by your prime factors (preferably common). The product of this divisors provides the LCM that 20 and also 24.

Step 3: proceed the steps until just 1s room left in the critical row.

The LCM that 20 and 24 is the product of every prime numbers on the left, i.e. LCM(20, 24) by department method = 2 × 2 × 2 × 3 × 5 = 120.

LCM the 20 and also 24 by Listing Multiples

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To calculation the LCM that 20 and 24 through listing the end the usual multiples, we deserve to follow the given below steps:

Step 1: perform a few multiples the 20 (20, 40, 60, 80, . . . ) and also 24 (24, 48, 72, 96, 120, . . . . )Step 2: The typical multiples from the multiples that 20 and also 24 space 120, 240, . . .Step 3: The smallest usual multiple of 20 and also 24 is 120.

∴ The least usual multiple that 20 and 24 = 120.

LCM the 20 and 24 by element Factorization

Prime administer of 20 and 24 is (2 × 2 × 5) = 22 × 51 and (2 × 2 × 2 × 3) = 23 × 31 respectively. LCM of 20 and 24 deserve to be derived by multiply prime determinants raised to their respective highest possible power, i.e. 23 × 31 × 51 = 120.Hence, the LCM the 20 and 24 by element factorization is 120.

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Example 3: Verify the relationship in between GCF and also LCM of 20 and also 24.

Solution:

The relation between GCF and LCM of 20 and also 24 is given as,LCM(20, 24) × GCF(20, 24) = Product that 20, 24Prime factorization of 20 and 24 is offered as, 20 = (2 × 2 × 5) = 22 × 51 and 24 = (2 × 2 × 2 × 3) = 23 × 31LCM(20, 24) = 120GCF(20, 24) = 4LHS = LCM(20, 24) × GCF(20, 24) = 120 × 4 = 480RHS = Product the 20, 24 = 20 × 24 = 480⇒ LHS = RHS = 480Hence, verified.


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FAQs top top LCM the 20 and 24

What is the LCM of 20 and 24?

The LCM that 20 and also 24 is 120. To find the least usual multiple (LCM) that 20 and 24, we require to find the multiples that 20 and also 24 (multiples that 20 = 20, 40, 60, 80 . . . . 120; multiples of 24 = 24, 48, 72, 96 . . . . 120) and choose the smallest multiple the is exactly divisible by 20 and 24, i.e., 120.

If the LCM that 24 and 20 is 120, discover its GCF.

LCM(24, 20) × GCF(24, 20) = 24 × 20Since the LCM that 24 and also 20 = 120⇒ 120 × GCF(24, 20) = 480Therefore, the GCF (greatest typical factor) = 480/120 = 4.

Which of the following is the LCM of 20 and also 24? 120, 30, 42, 40

The worth of LCM of 20, 24 is the smallest usual multiple of 20 and 24. The number solve the given problem is 120.

What is the Relation in between GCF and LCM the 20, 24?

The complying with equation have the right to be offered to to express the relation between GCF and also LCM the 20 and also 24, i.e. GCF × LCM = 20 × 24.

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How to uncover the LCM the 20 and also 24 by prime Factorization?

To find the LCM that 20 and 24 making use of prime factorization, us will discover the prime factors, (20 = 2 × 2 × 5) and (24 = 2 × 2 × 2 × 3). LCM the 20 and 24 is the product the prime determinants raised to your respective highest exponent amongst the numbers 20 and also 24.⇒ LCM the 20, 24 = 23 × 31 × 51 = 120.