LCM the 5 and also 6 is the smallest number amongst all common multiples of 5 and also 6. The first couple of multiples of 5 and 6 are (5, 10, 15, 20, 25, 30, . . . ) and (6, 12, 18, 24, 30, 36, . . . ) respectively. There space 3 frequently used methods to find LCM the 5 and also 6 - by prime factorization, by division method, and also by listing multiples.

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 1 LCM the 5 and also 6 2 List that Methods 3 Solved Examples 4 FAQs

Answer: LCM the 5 and also 6 is 30. Explanation:

The LCM of 2 non-zero integers, x(5) and also y(6), is the smallest confident integer m(30) the is divisible by both x(5) and also y(6) without any kind of remainder.

Let's look in ~ the different methods because that finding the LCM the 5 and 6.

By element Factorization MethodBy department MethodBy Listing Multiples

### LCM that 5 and 6 by prime Factorization

Prime administrate of 5 and also 6 is (5) = 51 and also (2 × 3) = 21 × 31 respectively. LCM that 5 and also 6 have the right to be acquired by multiplying prime components raised to their respective highest possible power, i.e. 21 × 31 × 51 = 30.Hence, the LCM of 5 and 6 by prime factorization is 30.

### LCM that 5 and also 6 by division Method To calculation the LCM the 5 and 6 by the division method, we will divide the numbers(5, 6) by your prime factors (preferably common). The product of these divisors offers the LCM that 5 and 6.

Step 3: proceed the measures until just 1s are left in the critical row.

The LCM that 5 and 6 is the product of all prime numbers on the left, i.e. LCM(5, 6) by division method = 2 × 3 × 5 = 30.

### LCM of 5 and also 6 by Listing Multiples To calculate the LCM of 5 and 6 through listing out the typical multiples, we can follow the given listed below steps:

Step 1: list a few multiples that 5 (5, 10, 15, 20, 25, 30, . . . ) and also 6 (6, 12, 18, 24, 30, 36, . . . . )Step 2: The usual multiples native the multiples that 5 and also 6 are 30, 60, . . .Step 3: The smallest typical multiple of 5 and 6 is 30.

∴ The least typical multiple that 5 and 6 = 30.

☛ also Check: ## FAQs ~ above LCM the 5 and 6

### What is the LCM of 5 and also 6?

The LCM the 5 and 6 is 30. To uncover the least typical multiple of 5 and also 6, we need to find the multiples that 5 and 6 (multiples of 5 = 5, 10, 15, 20 . . . . 30; multiples the 6 = 6, 12, 18, 24 . . . . 30) and choose the smallest multiple that is precisely divisible through 5 and also 6, i.e., 30.

### If the LCM that 6 and 5 is 30, uncover its GCF.

LCM(6, 5) × GCF(6, 5) = 6 × 5Since the LCM the 6 and 5 = 30⇒ 30 × GCF(6, 5) = 30Therefore, the greatest usual factor = 30/30 = 1.

### What are the approaches to find LCM that 5 and also 6?

The generally used approaches to find the LCM that 5 and 6 are:

Listing MultiplesPrime factorization MethodDivision Method

### What is the Relation between GCF and also LCM the 5, 6?

The following equation can be provided to express the relation in between GCF and also LCM the 5 and also 6, i.e. GCF × LCM = 5 × 6.

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### Which of the following is the LCM of 5 and 6? 3, 32, 35, 30

The worth of LCM the 5, 6 is the smallest common multiple of 5 and 6. The number satisfying the given problem is 30.