Given numbers are 414,372,561,771,430

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

The LCM of 414,372,561,771,430 is 265219358580.

Find LCM of 414,372,561,771,430 with Prime Factorization

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

2 x 3 x 69 x 62 x 187 x 257 x 215 = 265219358580

Therefore, the lowest common multiple of 414,372,561,771,430 is 265219358580.

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.

414 x 372 x 561 x 771 x 430 = 28643690726640

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.

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

561 : 1, 3, 11, 17, 33, 51, 187, 561

771 : 1, 3, 257, 771

430 : 1, 2, 5, 10, 43, 86, 215, 430

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,372,561,771,430, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

372:2x 2x 3x 31

561:3x 11x 17

771:3x 257

430:2x 5x 43

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

2x 2x 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 28643690726640/(1x108)

LCM = 28643690726640/108

LCM = 265219358580

Thus, we can understand that the LCM of 414,372,561,771,430 is 265219358580.

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

• LCM of 331, 336, 513, 210, 949
• LCM of 575, 370, 898, 927, 319
• LCM of 849, 190, 465, 582, 223
• LCM of 772, 204, 659, 694, 109
• LCM of 688, 735, 542, 174, 238

1. What is the LCM of 414, 372, 561, 771, 430?

Answer: LCM of 414, 372, 561, 771, 430 is 265219358580.

2. How to calculate the LCM of 414, 372, 561, 771, 430?

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 414, 372, 561, 771, 430.

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}.