Given numbers are 580,628,290,353,116

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

The LCM of 580,628,290,353,116 is 32144180.

Find LCM of 580,628,290,353,116 with Prime Factorization

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

2 x 2 x 5 x 29 x 1 x 157 x 1 x 353 x 1 = 32144180

Therefore, the lowest common multiple of 580,628,290,353,116 is 32144180.

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 628 x 290 x 353 x 116 = 4325320860800

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

628 : 1, 2, 4, 157, 314, 628

290 : 1, 2, 5, 10, 29, 58, 145, 290

353 : 1, 353

116 : 1, 2, 4, 29, 58, 116

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 580,628,290,353,116, is 1.

Now, the common factors can be found like this.

580:2x 2x 5x 29

628:2x 2x 157

290:2x 5x 29

353:353

116:2x 2x 29

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 5x 29x 29 = 134560

Therefore, the value for common factors is 134560.

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 = 4325320860800/(1x134560)

LCM = 4325320860800/134560

LCM = 32144180

Thus, we can understand that the LCM of 580,628,290,353,116 is 32144180.

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

• LCM of 912, 357, 594, 335, 780
• LCM of 362, 975, 491, 370, 465
• LCM of 142, 838, 565, 870, 850
• LCM of 983, 774, 559, 996, 140
• LCM of 391, 869, 314, 495, 779

1. What is the LCM of 580, 628, 290, 353, 116?

Answer: LCM of 580, 628, 290, 353, 116 is 32144180.

2. How to calculate the LCM of 580, 628, 290, 353, 116?

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, 628, 290, 353, 116.

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}.