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

You are watching: What is the lcm of 4 and 10

1. | LCM the 4 and also 10 |

2. | List that Methods |

3. | Solved Examples |

4. | FAQs |

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

**Explanation: **

The LCM of 2 non-zero integers, x(4) and y(10), is the smallest positive integer m(20) the is divisible by both x(4) and y(10) without any type of remainder.

The approaches to discover the LCM of 4 and 10 are explained below.

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

Prime administer of 4 and also 10 is (2 × 2) = 22 and (2 × 5) = 21 × 51 respectively. LCM the 4 and also 10 have the right to be obtained by multiplying prime factors raised to their respective highest power, i.e. 22 × 51 = 20.Hence, the LCM that 4 and also 10 by element factorization is 20.

### LCM of 4 and 10 by Listing Multiples

To calculate the LCM that 4 and also 10 by listing the end the common multiples, we can follow the given below steps:

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

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

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

∴ The least common multiple that 4 and also 10 = 20.

### LCM the 4 and 10 by division Method

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

**Step 3:**continue the steps until just 1s are left in the last row.

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

**☛ likewise Check:**

## FAQs on LCM of 4 and 10

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

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

### What space the approaches to discover LCM that 4 and 10?

The typically used techniques to discover the **LCM the 4 and also 10** are:

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

The adhering to equation can be supplied to to express the relation in between GCF and LCM of 4 and 10, i.e. GCF × LCM = 4 × 10.

### If the LCM that 10 and also 4 is 20, discover 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 usual factor (GCF) = 40/20 = 2.

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

The value of LCM of 4, 10 is the smallest usual multiple of 4 and 10. The number to solve the given problem is 20.