LCM the 24 and 30 is the smallest number among all common multiples of 24 and also 30. The first few multiples the 24 and also 30 are (24, 48, 72, 96, 120, . . . ) and also (30, 60, 90, 120, 150, 180, . . . ) respectively. There room 3 generally used techniques to discover LCM the 24 and also 30 - by prime factorization, by listing multiples, and also by department method.

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1.LCM of 24 and also 30
2.List the Methods
3.Solved Examples
4.FAQs

Answer: LCM the 24 and also 30 is 120.

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Explanation:

The LCM of 2 non-zero integers, x(24) and y(30), is the smallest optimistic integer m(120) the is divisible by both x(24) and also y(30) without any remainder.


Let's look in ~ the various methods for finding the LCM that 24 and 30.

By division MethodBy Listing MultiplesBy element Factorization Method

LCM of 24 and also 30 by division Method

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To calculation the LCM of 24 and also 30 by the department method, we will divide the numbers(24, 30) by your prime factors (preferably common). The product of these divisors offers the LCM the 24 and 30.

Step 3: continue the procedures until only 1s room left in the last row.

The LCM of 24 and 30 is the product of every prime numbers on the left, i.e. LCM(24, 30) by department method = 2 × 2 × 2 × 3 × 5 = 120.

LCM that 24 and also 30 through Listing Multiples

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To calculate the LCM of 24 and also 30 through listing out the typical multiples, we have the right to follow the given listed below steps:

Step 1: perform a few multiples that 24 (24, 48, 72, 96, 120, . . . ) and also 30 (30, 60, 90, 120, 150, 180, . . . . )Step 2: The common multiples native the multiples of 24 and 30 space 120, 240, . . .Step 3: The smallest common multiple that 24 and also 30 is 120.

∴ The least usual multiple of 24 and also 30 = 120.

LCM of 24 and 30 by element Factorization

Prime administrate of 24 and 30 is (2 × 2 × 2 × 3) = 23 × 31 and also (2 × 3 × 5) = 21 × 31 × 51 respectively. LCM of 24 and 30 have the right to be acquired by multiplying prime factors raised to your respective highest possible power, i.e. 23 × 31 × 51 = 120.Hence, the LCM of 24 and also 30 by element factorization is 120.

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FAQs ~ above LCM of 24 and also 30

What is the LCM the 24 and also 30?

The LCM the 24 and 30 is 120. To find the least usual multiple (LCM) that 24 and 30, we require to uncover the multiples that 24 and 30 (multiples of 24 = 24, 48, 72, 96 . . . . 120; multiples the 30 = 30, 60, 90, 120) and also choose the the smallest multiple the is exactly divisible by 24 and 30, i.e., 120.

If the LCM the 30 and also 24 is 120, discover its GCF.

LCM(30, 24) × GCF(30, 24) = 30 × 24Since the LCM that 30 and also 24 = 120⇒ 120 × GCF(30, 24) = 720Therefore, the GCF = 720/120 = 6.

What room the approaches to uncover LCM the 24 and also 30?

The frequently used methods to uncover the LCM that 24 and 30 are:

Prime administrate MethodListing MultiplesDivision Method

How to find the LCM of 24 and also 30 by element Factorization?

To find the LCM the 24 and also 30 utilizing prime factorization, us will discover the prime factors, (24 = 2 × 2 × 2 × 3) and also (30 = 2 × 3 × 5). LCM the 24 and 30 is the product that prime factors raised to their respective highest possible exponent amongst the numbers 24 and also 30.⇒ LCM of 24, 30 = 23 × 31 × 51 = 120.

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What is the Relation between GCF and also LCM that 24, 30?

The adhering to equation can be offered to refer the relation between GCF and LCM that 24 and also 30, i.e. GCF × LCM = 24 × 30.