LCM the 24 and also 8 is the the smallest number amongst all typical multiples the 24 and also 8. The first few multiples of 24 and also 8 are (24, 48, 72, 96, 120, 144, 168, . . . ) and (8, 16, 24, 32, 40, 48, . . . ) respectively. There room 3 commonly used techniques to uncover LCM of 24 and 8 - by division method, through listing multiples, and also by prime factorization.

You are watching: What is the lowest common multiple of 8 and 24

 1 LCM that 24 and 8 2 List the Methods 3 Solved Examples 4 FAQs

Answer: LCM the 24 and also 8 is 24.

Explanation:

The LCM of 2 non-zero integers, x(24) and also y(8), is the smallest optimistic integer m(24) the is divisible by both x(24) and y(8) without any remainder.

Let's look at the different methods because that finding the LCM the 24 and also 8.

By Listing MultiplesBy element Factorization MethodBy department Method

### LCM of 24 and 8 through Listing Multiples

To calculation the LCM that 24 and 8 by listing out the common multiples, we have the right to follow the given below steps:

Step 1: list a few multiples the 24 (24, 48, 72, 96, 120, 144, 168, . . . ) and 8 (8, 16, 24, 32, 40, 48, . . . . )Step 2: The typical multiples from the multiples that 24 and 8 space 24, 48, . . .Step 3: The smallest usual multiple that 24 and also 8 is 24.

∴ The least usual multiple the 24 and also 8 = 24.

### LCM the 24 and 8 by prime Factorization

Prime factorization of 24 and also 8 is (2 × 2 × 2 × 3) = 23 × 31 and (2 × 2 × 2) = 23 respectively. LCM that 24 and 8 can be derived by multiply prime components raised to their respective highest possible power, i.e. 23 × 31 = 24.Hence, the LCM that 24 and also 8 by element factorization is 24.

### LCM the 24 and 8 by division Method

To calculation the LCM that 24 and also 8 by the division method, we will divide the numbers(24, 8) by your prime components (preferably common). The product of this divisors gives the LCM of 24 and 8.

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

The LCM that 24 and 8 is the product of every prime numbers on the left, i.e. LCM(24, 8) by division method = 2 × 2 × 2 × 3 = 24.

☛ also Check:

## FAQs top top LCM of 24 and 8

### What is the LCM that 24 and also 8?

The LCM that 24 and 8 is 24. To discover the LCM (least typical multiple) that 24 and 8, we need to discover the multiples that 24 and 8 (multiples that 24 = 24, 48, 72, 96; multiples that 8 = 8, 16, 24, 32) and choose the smallest multiple that is precisely divisible by 24 and 8, i.e., 24.

### Which the the adhering to is the LCM of 24 and also 8? 16, 24, 25, 28

The worth of LCM that 24, 8 is the smallest common multiple that 24 and also 8. The number to solve the given problem is 24.

### If the LCM that 8 and 24 is 24, find its GCF.

LCM(8, 24) × GCF(8, 24) = 8 × 24Since the LCM the 8 and also 24 = 24⇒ 24 × GCF(8, 24) = 192Therefore, the GCF (greatest typical factor) = 192/24 = 8.

See more: How Far Is San Francisco To Portland Oregon, Distance From Portland, Or To San Francisco, Ca

### What space the methods to find LCM that 24 and also 8?

The commonly used techniques to find the LCM that 24 and also 8 are:

Division MethodListing MultiplesPrime factorization Method

### What is the Relation between GCF and LCM the 24, 8?

The adhering to equation can be used to refer the relation between GCF and LCM the 24 and 8, i.e. GCF × LCM = 24 × 8.