Given numbers are 467,69,114

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 467,69,114 is 1224474.

Find LCM of 467,69,114 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

3 x 467 x 23 x 38 = 1224474

Therefore, the lowest common multiple of 467,69,114 is 1224474.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

467 x 69 x 114 = 3673422

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

467 : 1, 467

69 : 1, 3, 23, 69

114 : 1, 2, 3, 6, 19, 38, 57, 114

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,69,114, is 1.

Now, the common factors can be found like this.

467:467

69:3x 23

114:2x 3x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3 = 3

Therefore, the value for common factors is 3.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 3673422/(1x3)

LCM = 3673422/3

LCM = 1224474

Thus, we can understand that the LCM of 467,69,114 is 1224474.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 862, 68, 756
• LCM of 588, 52, 690
• LCM of 878, 45, 526
• LCM of 403, 27, 775
• LCM of 357, 28, 445

1. What is the LCM of 467, 69, 114?

Answer: LCM of 467, 69, 114 is 1224474.

2. How to calculate the LCM of 467, 69, 114?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 467, 69, 114.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.