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

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

1. | LCM that 4 and 10 |

2. | List the Methods |

3. | Solved Examples |

4. | FAQs |

**Answer:** LCM the 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 also y(10) without any remainder.

The techniques to find the LCM that 4 and 10 are explained below.

By prime Factorization MethodBy Listing MultiplesBy division Method### LCM the 4 and 10 by element Factorization

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

### LCM of 4 and 10 by Listing Multiples

To calculate the LCM the 4 and 10 by listing out the common multiples, we have the right to follow the given listed below steps:

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

**Step 2:**The typical multiples from the multiples the 4 and 10 room 20, 40, . . .

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

∴ The least typical multiple the 4 and also 10 = 20.

### LCM the 4 and 10 by department Method

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

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

The LCM the 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 10

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

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

### What room the techniques to uncover LCM that 4 and 10?

The commonly used techniques to uncover the **LCM that 4 and 10** are:

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

The adhering to equation have the right to be offered to to express the relation between GCF and also LCM of 4 and 10, i.e. GCF × LCM = 4 × 10.

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

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

See more: Can You Take Ativan And Benadryl Together, Can You Take Other Medicines With Lorazepam

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

The value of LCM that 4, 10 is the smallest typical multiple the 4 and 10. The number to solve the given condition is 20.