LCM of 15 and 27 is the smallest number amongst all typical multiples that 15 and also 27. The first few multiples the 15 and 27 are (15, 30, 45, 60, 75, . . . ) and also (27, 54, 81, 108, . . . ) respectively. There space 3 generally used techniques to find LCM of 15 and 27 - by division method, by element factorization, and by listing multiples.

You are watching: Find the lcm of 15 and 27

1. | LCM the 15 and also 27 |

2. | List that Methods |

3. | Solved Examples |

4. | FAQs |

**Answer:** LCM that 15 and also 27 is 135.

**Explanation: **

The LCM of two non-zero integers, x(15) and also y(27), is the smallest optimistic integer m(135) the is divisible by both x(15) and also y(27) without any remainder.

Let's look at the various methods for finding the LCM of 15 and also 27.

By prime Factorization MethodBy division MethodBy Listing Multiples### LCM the 15 and also 27 by prime Factorization

Prime administrate of 15 and also 27 is (3 × 5) = 31 × 51 and (3 × 3 × 3) = 33 respectively. LCM the 15 and 27 can be acquired by multiplying prime determinants raised to their respective greatest power, i.e. 33 × 51 = 135.Hence, the LCM that 15 and 27 by prime factorization is 135.

### LCM that 15 and also 27 by department Method

To calculation the LCM that 15 and 27 by the department method, we will certainly divide the numbers(15, 27) by your prime determinants (preferably common). The product of these divisors offers the LCM of 15 and also 27.

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

The LCM that 15 and 27 is the product of all prime numbers on the left, i.e. LCM(15, 27) by department method = 3 × 3 × 3 × 5 = 135.

### LCM of 15 and also 27 by Listing Multiples

To calculation the LCM of 15 and also 27 by listing the end the usual multiples, we can follow the given below steps:

**Step 1:**list a couple of multiples that 15 (15, 30, 45, 60, 75, . . . ) and also 27 (27, 54, 81, 108, . . . . )

**Step 2:**The typical multiples from the multiples the 15 and also 27 space 135, 270, . . .

**Step 3:**The smallest common multiple of 15 and also 27 is 135.

∴ The least typical multiple of 15 and also 27 = 135.

**☛ also Check:**

## FAQs ~ above LCM that 15 and 27

### What is the LCM that 15 and 27?

### How to find the LCM of 15 and also 27 by prime Factorization?

To find the LCM the 15 and 27 utilizing prime factorization, we will uncover the prime factors, (15 = 3 × 5) and (27 = 3 × 3 × 3). LCM the 15 and 27 is the product that prime factors raised to your respective highest exponent amongst the number 15 and 27.⇒ LCM the 15, 27 = 33 × 51 = 135.

### What is the Relation in between GCF and LCM the 15, 27?

The following equation deserve to be supplied to to express the relation between GCF and LCM of 15 and also 27, i.e. GCF × LCM = 15 × 27.

### Which of the adhering to is the LCM that 15 and 27? 5, 42, 135, 16

The worth of LCM that 15, 27 is the smallest typical multiple of 15 and also 27. The number solve the given problem is 135.

### If the LCM the 27 and also 15 is 135, uncover its GCF.

See more: Which Subatomic Particle That Determines The Identity Of An Element ?

LCM(27, 15) × GCF(27, 15) = 27 × 15Since the LCM that 27 and also 15 = 135⇒ 135 × GCF(27, 15) = 405Therefore, the greatest typical factor = 405/135 = 3.