Given numbers are 467,214,107,436

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

The LCM of 467,214,107,436 is 21786484.

Find LCM of 467,214,107,436 with Prime Factorization

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

2 x 107 x 467 x 1 x 1 x 218 = 21786484

Therefore, the lowest common multiple of 467,214,107,436 is 21786484.

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 214 x 107 x 436 = 4662307576

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

214 : 1, 2, 107, 214

107 : 1, 107

436 : 1, 2, 4, 109, 218, 436

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,214,107,436, is 1.

Now, the common factors can be found like this.

467:467

214:2x 107

107:107

436:2x 2x 109

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

2x 107 = 214

Therefore, the value for common factors is 214.

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 = 4662307576/(1x214)

LCM = 4662307576/214

LCM = 21786484

Thus, we can understand that the LCM of 467,214,107,436 is 21786484.

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

• LCM of 281, 269, 637, 284
• LCM of 273, 308, 515, 159
• LCM of 791, 608, 988, 771
• LCM of 180, 369, 245, 265
• LCM of 668, 845, 229, 523

1. What is the LCM of 467, 214, 107, 436?

Answer: LCM of 467, 214, 107, 436 is 21786484.

2. How to calculate the LCM of 467, 214, 107, 436?

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, 214, 107, 436.

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}.