LCM the 5 and 6 is the the smallest number among all usual multiples the 5 and 6. The first couple of multiples that 5 and also 6 room (5, 10, 15, 20, 25, 30, . . . ) and (6, 12, 18, 24, 30, 36, . . . ) respectively. There space 3 generally used methods to uncover LCM of 5 and also 6 - by element 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 hopeful integer m(30) that is divisible by both x(5) and y(6) without any type of remainder.

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

By element Factorization MethodBy division MethodBy Listing Multiples

### LCM of 5 and also 6 by element Factorization

Prime administer of 5 and also 6 is (5) = 51 and also (2 × 3) = 21 × 31 respectively. LCM that 5 and 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 that 5 and also 6 by element factorization is 30.

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

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

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

### LCM that 5 and also 6 by Listing Multiples To calculation the LCM that 5 and also 6 by listing out the usual multiples, we can follow the given listed below steps:

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

∴ The least typical multiple of 5 and 6 = 30. ## FAQs top top LCM that 5 and also 6

### What is the LCM that 5 and 6?

The LCM the 5 and also 6 is 30. To discover the least typical multiple of 5 and 6, we require to discover the multiples the 5 and 6 (multiples that 5 = 5, 10, 15, 20 . . . . 30; multiples that 6 = 6, 12, 18, 24 . . . . 30) and also choose the smallest multiple that is specifically divisible by 5 and 6, i.e., 30.

### If the LCM the 6 and also 5 is 30, find its GCF.

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

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

The frequently used techniques to uncover the LCM that 5 and 6 are: