LCM of 16 and 28 is the the smallest number amongst all common multiples the 16 and also 28. The first few multiples the 16 and also 28 space (16, 32, 48, 64, . . . ) and also (28, 56, 84, 112, . . . ) respectively. There space 3 generally used techniques to find LCM of 16 and also 28 - by listing multiples, by department method, and also by prime factorization.

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 1 LCM the 16 and also 28 2 List that Methods 3 Solved Examples 4 FAQs

Answer: LCM of 16 and also 28 is 112.

Explanation:

The LCM of two non-zero integers, x(16) and also y(28), is the smallest optimistic integer m(112) that is divisible by both x(16) and also y(28) without any remainder.

The approaches to discover the LCM the 16 and 28 are explained below.

By Listing MultiplesBy element Factorization MethodBy division Method

### LCM of 16 and 28 by Listing Multiples

To calculate the LCM that 16 and also 28 by listing the end the usual multiples, we deserve to follow the given below steps:

Step 1: perform a few multiples that 16 (16, 32, 48, 64, . . . ) and also 28 (28, 56, 84, 112, . . . . )Step 2: The common multiples indigenous the multiples the 16 and also 28 room 112, 224, . . .Step 3: The smallest usual multiple that 16 and also 28 is 112.

∴ The least usual multiple the 16 and 28 = 112.

### LCM the 16 and also 28 by element Factorization

Prime administrate of 16 and 28 is (2 × 2 × 2 × 2) = 24 and also (2 × 2 × 7) = 22 × 71 respectively. LCM the 16 and also 28 can be derived by multiply prime factors raised to their respective highest power, i.e. 24 × 71 = 112.Hence, the LCM the 16 and also 28 by prime factorization is 112.

### LCM of 16 and also 28 by division Method

To calculate the LCM the 16 and also 28 through the department method, we will divide the numbers(16, 28) by their prime components (preferably common). The product of these divisors provides the LCM of 16 and also 28.

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

The LCM that 16 and also 28 is the product of all prime numbers on the left, i.e. LCM(16, 28) by division method = 2 × 2 × 2 × 2 × 7 = 112.

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## FAQs top top LCM that 16 and also 28

### What is the LCM of 16 and also 28?

The LCM of 16 and 28 is 112. To find the LCM of 16 and also 28, we need to discover the multiples the 16 and 28 (multiples the 16 = 16, 32, 48, 64 . . . . 112; multiples that 28 = 28, 56, 84, 112) and choose the the smallest multiple that is specifically divisible through 16 and 28, i.e., 112.

### Which of the adhering to is the LCM of 16 and also 28? 36, 18, 42, 112

The value of LCM of 16, 28 is the smallest typical multiple the 16 and also 28. The number solve the given condition is 112.

### If the LCM of 28 and also 16 is 112, find its GCF.

LCM(28, 16) × GCF(28, 16) = 28 × 16Since the LCM the 28 and also 16 = 112⇒ 112 × GCF(28, 16) = 448Therefore, the GCF = 448/112 = 4.

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### What is the Relation in between GCF and also LCM the 16, 28?

The following equation have the right to be used to refer the relation in between GCF and LCM that 16 and also 28, i.e. GCF × LCM = 16 × 28.

### What are the methods to discover LCM of 16 and also 28?

The commonly used methods to discover the LCM of 16 and also 28 are: