Given numbers are 438,480,598,573,129

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

The LCM of 438,480,598,573,129 is 86047272480.

Find LCM of 438,480,598,573,129 with Prime Factorization

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

2 x 3 x 73 x 80 x 299 x 191 x 43 = 86047272480

Therefore, the lowest common multiple of 438,480,598,573,129 is 86047272480.

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.

438 x 480 x 598 x 573 x 129 = 9293105427840

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.

438 : 1, 2, 3, 6, 73, 146, 219, 438

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

598 : 1, 2, 13, 23, 26, 46, 299, 598

573 : 1, 3, 191, 573

129 : 1, 3, 43, 129

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,480,598,573,129, is 1.

Now, the common factors can be found like this.

438:2x 3x 73

480:2x 2x 2x 2x 2x 3x 5

598:2x 13x 23

573:3x 191

129:3x 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 = 9293105427840/(1x108)

LCM = 9293105427840/108

LCM = 86047272480

Thus, we can understand that the LCM of 438,480,598,573,129 is 86047272480.

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

• LCM of 818, 484, 602, 522, 889
• LCM of 777, 175, 422, 884, 144
• LCM of 250, 658, 805, 366, 549
• LCM of 746, 514, 632, 620, 780
• LCM of 222, 937, 475, 963, 268

1. What is the LCM of 438, 480, 598, 573, 129?

Answer: LCM of 438, 480, 598, 573, 129 is 86047272480.

2. How to calculate the LCM of 438, 480, 598, 573, 129?

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 438, 480, 598, 573, 129.

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}.