LCM that 24 and 90 is the the smallest number amongst all usual multiples the 24 and 90. The first few multiples the 24 and 90 space (24, 48, 72, 96, 120, 144, 168, . . . ) and also (90, 180, 270, 360, 450, . . . ) respectively. There are 3 typically used approaches to discover LCM the 24 and 90 - by division method, by prime factorization, and by listing multiples.

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1.LCM of 24 and 90
2.List of Methods
3.Solved Examples
4.FAQs

Answer: LCM that 24 and 90 is 360.

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Explanation:

The LCM of 2 non-zero integers, x(24) and y(90), is the smallest confident integer m(360) the is divisible by both x(24) and also y(90) without any remainder.


The methods to find the LCM the 24 and also 90 are described below.

By Listing MultiplesBy department MethodBy prime Factorization Method

LCM the 24 and also 90 by Listing Multiples

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To calculate the LCM the 24 and also 90 by listing the end the typical multiples, we can follow the given below steps:

Step 1: list a couple of multiples the 24 (24, 48, 72, 96, 120, 144, 168, . . . ) and also 90 (90, 180, 270, 360, 450, . . . . )Step 2: The usual multiples native the multiples that 24 and also 90 space 360, 720, . . .Step 3: The smallest typical multiple of 24 and 90 is 360.

∴ The least common multiple that 24 and 90 = 360.

LCM of 24 and also 90 by department Method

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To calculation the LCM the 24 and also 90 by the department method, we will divide the numbers(24, 90) by their prime determinants (preferably common). The product of these divisors gives the LCM of 24 and also 90.

Step 3: continue the steps until just 1s space left in the last row.

The LCM that 24 and 90 is the product of every prime numbers on the left, i.e. LCM(24, 90) by department method = 2 × 2 × 2 × 3 × 3 × 5 = 360.

LCM of 24 and also 90 by prime Factorization

Prime administer of 24 and also 90 is (2 × 2 × 2 × 3) = 23 × 31 and also (2 × 3 × 3 × 5) = 21 × 32 × 51 respectively. LCM of 24 and 90 can be derived by multiplying prime determinants raised to your respective greatest power, i.e. 23 × 32 × 51 = 360.Hence, the LCM that 24 and 90 by element factorization is 360.

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Example 2: Verify the relationship in between GCF and also LCM of 24 and also 90.

Solution:

The relation in between GCF and LCM that 24 and also 90 is provided as,LCM(24, 90) × GCF(24, 90) = Product the 24, 90Prime administer of 24 and 90 is provided as, 24 = (2 × 2 × 2 × 3) = 23 × 31 and 90 = (2 × 3 × 3 × 5) = 21 × 32 × 51LCM(24, 90) = 360GCF(24, 90) = 6LHS = LCM(24, 90) × GCF(24, 90) = 360 × 6 = 2160RHS = Product that 24, 90 = 24 × 90 = 2160⇒ LHS = RHS = 2160Hence, verified.


Example 3: The product of 2 numbers is 2160. If your GCD is 6, what is your LCM?

Solution:

Given: GCD = 6product of numbers = 2160∵ LCM × GCD = product the numbers⇒ LCM = Product/GCD = 2160/6Therefore, the LCM is 360.The probable mix for the given instance is LCM(24, 90) = 360.


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FAQs on LCM that 24 and also 90

What is the LCM the 24 and 90?

The LCM the 24 and 90 is 360. To discover the least usual multiple (LCM) of 24 and also 90, we require to uncover the multiples of 24 and also 90 (multiples the 24 = 24, 48, 72, 96 . . . . 360; multiples the 90 = 90, 180, 270, 360) and also choose the smallest multiple the is specifically divisible through 24 and also 90, i.e., 360.

If the LCM the 90 and also 24 is 360, find its GCF.

LCM(90, 24) × GCF(90, 24) = 90 × 24Since the LCM that 90 and 24 = 360⇒ 360 × GCF(90, 24) = 2160Therefore, the GCF (greatest common factor) = 2160/360 = 6.

What is the Relation between GCF and LCM the 24, 90?

The adhering to equation deserve to be supplied to refer the relation between GCF and also LCM the 24 and 90, i.e. GCF × LCM = 24 × 90.

Which the the following is the LCM that 24 and 90? 24, 360, 12, 10

The value of LCM of 24, 90 is the smallest typical multiple of 24 and also 90. The number satisfying the given problem is 360.

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How to discover the LCM that 24 and also 90 by element Factorization?

To find the LCM that 24 and also 90 making use of prime factorization, we will uncover the prime factors, (24 = 2 × 2 × 2 × 3) and (90 = 2 × 3 × 3 × 5). LCM of 24 and also 90 is the product of prime determinants raised to their respective highest exponent amongst the number 24 and also 90.⇒ LCM the 24, 90 = 23 × 32 × 51 = 360.