LCM the 6 and 20 is the smallest number amongst all typical multiples the 6 and also 20. The first few multiples that 6 and also 20 room (6, 12, 18, 24, 30, 36, 42, . . . ) and (20, 40, 60, 80, 100, 120, 140, . . . ) respectively. There are 3 typically used techniques to discover LCM of 6 and 20 - by listing multiples, by department method, and also by element factorization.

You are watching: Least common multiple of 6 and 20

 1 LCM of 6 and 20 2 List of Methods 3 Solved Examples 4 FAQs

Answer: LCM the 6 and also 20 is 60. Explanation:

The LCM of two non-zero integers, x(6) and y(20), is the smallest optimistic integer m(60) the is divisible through both x(6) and y(20) without any kind of remainder.

The methods to find the LCM the 6 and also 20 are explained below.

By division MethodBy prime Factorization MethodBy Listing Multiples

### LCM that 6 and also 20 by department Method

To calculate the LCM that 6 and also 20 by the division method, we will certainly divide the numbers(6, 20) by your prime determinants (preferably common). The product of these divisors offers the LCM that 6 and also 20.

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

The LCM that 6 and 20 is the product of all prime numbers on the left, i.e. LCM(6, 20) by department method = 2 × 2 × 3 × 5 = 60.

### LCM the 6 and 20 by element Factorization

Prime administer of 6 and also 20 is (2 × 3) = 21 × 31 and also (2 × 2 × 5) = 22 × 51 respectively. LCM the 6 and also 20 can be obtained by multiplying prime components raised to your respective greatest power, i.e. 22 × 31 × 51 = 60.Hence, the LCM that 6 and 20 by element factorization is 60.

### LCM the 6 and also 20 by Listing Multiples To calculate the LCM that 6 and 20 through listing out the usual multiples, we deserve to follow the given listed below steps:

Step 1: list a few multiples of 6 (6, 12, 18, 24, 30, 36, 42, . . . ) and 20 (20, 40, 60, 80, 100, 120, 140, . . . . )Step 2: The typical multiples from the multiples the 6 and also 20 room 60, 120, . . .Step 3: The smallest common multiple that 6 and 20 is 60.

∴ The least usual multiple of 6 and 20 = 60.

☛ also Check: ## FAQs top top LCM of 6 and also 20

### What is the LCM of 6 and 20?

The LCM the 6 and also 20 is 60. To find the least typical multiple (LCM) of 6 and also 20, we require to discover the multiples that 6 and 20 (multiples of 6 = 6, 12, 18, 24 . . . . 60; multiples the 20 = 20, 40, 60, 80) and choose the the smallest multiple the is precisely divisible by 6 and 20, i.e., 60.

### If the LCM of 20 and also 6 is 60, uncover its GCF.

LCM(20, 6) × GCF(20, 6) = 20 × 6Since the LCM that 20 and 6 = 60⇒ 60 × GCF(20, 6) = 120Therefore, the GCF (greatest typical factor) = 120/60 = 2.

### What is the Relation between GCF and also LCM that 6, 20?

The following equation can be provided to to express the relation between GCF and LCM the 6 and 20, i.e. GCF × LCM = 6 × 20.

See more: 6 Cloves Garlic Equals How Much Minced Garlic Conversion, 6 Cloves Of Minced Garlic How Many Tablespoons

### How to uncover the LCM of 6 and also 20 by prime Factorization?

To find the LCM that 6 and 20 making use of prime factorization, we will discover the prime factors, (6 = 2 × 3) and (20 = 2 × 2 × 5). LCM that 6 and 20 is the product that prime determinants raised to their respective highest exponent among the number 6 and 20.⇒ LCM of 6, 20 = 22 × 31 × 51 = 60.

### What space the techniques to discover LCM that 6 and 20?

The commonly used techniques to uncover the LCM of 6 and 20 are: