Given numbers are 580,138,112,416,634

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

The LCM of 580,138,112,416,634 is 9235655520.

Find LCM of 580,138,112,416,634 with Prime Factorization

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

2 x 2 x 2 x 2 x 145 x 69 x 7 x 26 x 317 = 9235655520

Therefore, the lowest common multiple of 580,138,112,416,634 is 9235655520.

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.

580 x 138 x 112 x 416 x 634 = 2364327813120

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.

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

138 : 1, 2, 3, 6, 23, 46, 69, 138

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

634 : 1, 2, 317, 634

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 580,138,112,416,634, is 2.

Now, the common factors can be found like this.

580:2x 2x 5x 29

138:2x 3x 23

112:2x 2x 2x 2x 7

416:2x 2x 2x 2x 2x 13

634:2x 317

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 2x 2x 2x 2x 2 = 128

Therefore, the value for common factors is 128.

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 = 2364327813120/(2x128)

LCM = 2364327813120/256

LCM = 9235655520

Thus, we can understand that the LCM of 580,138,112,416,634 is 9235655520.

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

• LCM of 781, 585, 323, 385, 867
• LCM of 726, 452, 575, 454, 574
• LCM of 544, 577, 175, 783, 562
• LCM of 343, 545, 600, 983, 258
• LCM of 953, 735, 611, 490, 217

1. What is the LCM of 580, 138, 112, 416, 634?

Answer: LCM of 580, 138, 112, 416, 634 is 9235655520.

2. How to calculate the LCM of 580, 138, 112, 416, 634?

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 580, 138, 112, 416, 634.

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}.