LCM that 7 and also 12 is the smallest number amongst all usual multiples that 7 and also 12. The first few multiples the 7 and also 12 space (7, 14, 21, 28, . . . ) and (12, 24, 36, 48, 60, 72, 84, . . . ) respectively. There space 3 commonly used methods to find LCM that 7 and also 12 - by listing multiples, by department method, and also by element factorization.

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1. | LCM the 7 and 12 |

2. | List that Methods |

3. | Solved Examples |

4. | FAQs |

**Answer:** LCM that 7 and 12 is 84.

**Explanation: **

The LCM of two non-zero integers, x(7) and y(12), is the smallest optimistic integer m(84) the is divisible by both x(7) and also y(12) without any type of remainder.

Let's look at the different methods because that finding the LCM that 7 and 12.

By department MethodBy prime Factorization MethodBy Listing Multiples### LCM the 7 and 12 by division Method

To calculate the LCM that 7 and also 12 by the division method, we will divide the numbers(7, 12) by your prime determinants (preferably common). The product of this divisors offers the LCM of 7 and also 12.

**Step 3:**proceed the measures until only 1s space left in the last row.

The LCM of 7 and also 12 is the product of all prime numbers on the left, i.e. LCM(7, 12) by division method = 2 × 2 × 3 × 7 = 84.

### LCM that 7 and also 12 by prime Factorization

Prime administrate of 7 and 12 is (7) = 71 and (2 × 2 × 3) = 22 × 31 respectively. LCM of 7 and 12 have the right to be obtained by multiply prime components raised to their respective highest power, i.e. 22 × 31 × 71 = 84.Hence, the LCM that 7 and 12 by prime factorization is 84.

### LCM the 7 and also 12 by Listing Multiples

To calculation the LCM the 7 and also 12 by listing out the common multiples, we deserve to follow the given below steps:

**Step 1:**perform a few multiples that 7 (7, 14, 21, 28, . . . ) and also 12 (12, 24, 36, 48, 60, 72, 84, . . . . )

**Step 2:**The typical multiples indigenous the multiples of 7 and also 12 space 84, 168, . . .

**Step 3:**The smallest usual multiple the 7 and 12 is 84.

∴ The least common multiple that 7 and 12 = 84.

**☛ also Check:**

## FAQs top top LCM that 7 and also 12

### What is the LCM of 7 and 12?

The **LCM the 7 and 12 is 84**. To find the least typical multiple (LCM) of 7 and 12, we need to discover the multiples the 7 and also 12 (multiples of 7 = 7, 14, 21, 28 . . . . 84; multiples of 12 = 12, 24, 36, 48 . . . . 84) and also choose the the smallest multiple the is specifically divisible by 7 and 12, i.e., 84.

### How to find the LCM of 7 and also 12 by prime Factorization?

To uncover the LCM that 7 and 12 making use of prime factorization, we will discover the prime factors, (7 = 7) and also (12 = 2 × 2 × 3). LCM of 7 and 12 is the product the prime factors raised to their respective greatest exponent amongst the number 7 and 12.⇒ LCM of 7, 12 = 22 × 31 × 71 = 84.

### What is the Relation between GCF and also LCM the 7, 12?

The following equation have the right to be used to refer the relation in between GCF and LCM the 7 and 12, i.e. GCF × LCM = 7 × 12.

### Which that the complying with is the LCM of 7 and 12? 21, 12, 84, 42

The worth of LCM the 7, 12 is the smallest typical multiple of 7 and also 12. The number solve the given problem is 84.

### If the LCM that 12 and 7 is 84, find its GCF.

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LCM(12, 7) × GCF(12, 7) = 12 × 7Since the LCM of 12 and 7 = 84⇒ 84 × GCF(12, 7) = 84Therefore, the GCF = 84/84 = 1.