LCM the 5 and 6 is the the smallest number among all usual multiples the 5 and also 6. The first couple of multiples the 5 and 6 space (5, 10, 15, 20, 25, 30, . . . ) and (6, 12, 18, 24, 30, 36, . . . ) respectively. There are 3 generally used techniques to uncover LCM of 5 and 6 - by element factorization, by division method, and also by listing multiples.

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

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

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

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

By prime Factorization MethodBy department MethodBy Listing Multiples

### LCM of 5 and 6 by prime Factorization

Prime factorization of 5 and 6 is (5) = 51 and (2 × 3) = 21 × 31 respectively. LCM of 5 and 6 deserve to be obtained by multiply prime determinants raised to their respective highest power, i.e. 21 × 31 × 51 = 30.Hence, the LCM that 5 and 6 by prime factorization is 30.

### LCM the 5 and 6 by department Method To calculate the LCM that 5 and 6 through the division method, we will certainly divide the numbers(5, 6) by your prime determinants (preferably common). The product of these divisors provides the LCM of 5 and 6.

Step 3: continue the steps until only 1s space left in the critical row.

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

### LCM the 5 and 6 through Listing Multiples To calculation the LCM the 5 and also 6 by listing the end the typical multiples, we can follow the given below steps:

Step 1: perform a couple of multiples that 5 (5, 10, 15, 20, 25, 30, . . . ) and 6 (6, 12, 18, 24, 30, 36, . . . . )Step 2: The common multiples indigenous the multiples that 5 and 6 room 30, 60, . . .Step 3: The smallest common multiple that 5 and 6 is 30.

∴ The least common multiple the 5 and also 6 = 30. ## FAQs ~ above LCM of 5 and also 6

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

The LCM the 5 and 6 is 30. To find the least common multiple that 5 and 6, we require to uncover the multiples that 5 and 6 (multiples that 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, find its GCF.

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

### What space the methods to find LCM of 5 and 6?

The commonly used approaches to uncover 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 complying with equation have the right to be provided to express the relation between GCF and LCM that 5 and also 6, i.e. GCF × LCM = 5 × 6.

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### Which the the adhering to is the LCM of 5 and also 6? 3, 32, 35, 30

The value of LCM of 5, 6 is the smallest usual multiple the 5 and also 6. The number solve the given condition is 30.