LCM that 4 and also 10 is the the smallest number among all common multiples the 4 and also 10. The first couple of multiples that 4 and also 10 are (4, 8, 12, 16, 20, 24, . . . ) and (10, 20, 30, 40, 50, 60, 70, . . . ) respectively. There space 3 commonly used approaches to uncover LCM that 4 and 10 - by listing multiples, by department method, and by prime factorization.

You are watching: What is the lowest common multiple of 4 and 10

1. | LCM that 4 and 10 |

2. | List of Methods |

3. | Solved Examples |

4. | FAQs |

**Answer:** LCM of 4 and also 10 is 20.

**Explanation: **

The LCM of two non-zero integers, x(4) and also y(10), is the smallest positive integer m(20) that is divisible by both x(4) and y(10) without any remainder.

The methods to discover the LCM the 4 and also 10 are defined below.

By prime Factorization MethodBy Listing MultiplesBy department Method### LCM that 4 and also 10 by element Factorization

Prime administer of 4 and also 10 is (2 × 2) = 22 and (2 × 5) = 21 × 51 respectively. LCM of 4 and also 10 deserve to be derived by multiplying prime factors raised to your respective greatest power, i.e. 22 × 51 = 20.Hence, the LCM that 4 and also 10 by prime factorization is 20.

### LCM of 4 and 10 by Listing Multiples

To calculation the LCM of 4 and 10 by listing out the usual multiples, we can follow the given listed below steps:

**Step 1:**perform a few multiples the 4 (4, 8, 12, 16, 20, 24, . . . ) and 10 (10, 20, 30, 40, 50, 60, 70, . . . . )

**Step 2:**The common multiples indigenous the multiples that 4 and also 10 space 20, 40, . . .

**Step 3:**The smallest typical multiple of 4 and 10 is 20.

∴ The least typical multiple that 4 and 10 = 20.

### LCM the 4 and 10 by division Method

To calculation the LCM that 4 and also 10 through the department method, we will certainly divide the numbers(4, 10) by your prime components (preferably common). The product of these divisors provides the LCM of 4 and also 10.

**Step 3:**continue the actions until only 1s are left in the critical row.

The LCM that 4 and also 10 is the product of every prime number on the left, i.e. LCM(4, 10) by division method = 2 × 2 × 5 = 20.

**☛ additionally Check:**

## FAQs on LCM the 4 and also 10

### What is the LCM the 4 and also 10?

The **LCM the 4 and also 10 is 20**. To find the LCM (least common multiple) of 4 and also 10, we require to uncover the multiples that 4 and 10 (multiples of 4 = 4, 8, 12, 16 . . . . 20; multiples of 10 = 10, 20, 30, 40) and choose the smallest multiple the is specifically divisible through 4 and 10, i.e., 20.

### What are the methods to find LCM of 4 and 10?

The frequently used methods to uncover the **LCM that 4 and also 10** are:

### What is the Relation in between GCF and also LCM the 4, 10?

The complying with equation can be supplied to refer the relation in between GCF and also LCM of 4 and also 10, i.e. GCF × LCM = 4 × 10.

### If the LCM that 10 and 4 is 20, uncover its GCF.

LCM(10, 4) × GCF(10, 4) = 10 × 4Since the LCM of 10 and also 4 = 20⇒ 20 × GCF(10, 4) = 40Therefore, the greatest typical factor (GCF) = 40/20 = 2.

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### Which the the complying with is the LCM the 4 and also 10? 28, 20, 32, 2

The value of LCM the 4, 10 is the smallest usual multiple the 4 and 10. The number satisfying the given condition is 20.