Given numbers are 317,306,780,546,220

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

The LCM of 317,306,780,546,220 is 970990020.

Find LCM of 317,306,780,546,220 with Prime Factorization

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

2 x 2 x 3 x 5 x 13 x 317 x 51 x 1 x 7 x 11 = 970990020

Therefore, the lowest common multiple of 317,306,780,546,220 is 970990020.

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.

317 x 306 x 780 x 546 x 220 = 9088466587200

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.

317 : 1, 317

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,306,780,546,220, is 1.

Now, the common factors can be found like this.

317:317

306:2x 3x 3x 17

780:2x 2x 3x 5x 13

546:2x 3x 7x 13

220:2x 2x 5x 11

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 3x 3x 5x 13 = 9360

Therefore, the value for common factors is 9360.

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 = 9088466587200/(1x9360)

LCM = 9088466587200/9360

LCM = 970990020

Thus, we can understand that the LCM of 317,306,780,546,220 is 970990020.

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

• LCM of 511, 425, 667, 955, 264
• LCM of 317, 739, 858, 869, 655
• LCM of 247, 546, 485, 488, 788
• LCM of 196, 873, 884, 375, 670
• LCM of 783, 323, 821, 167, 277

1. What is the LCM of 317, 306, 780, 546, 220?

Answer: LCM of 317, 306, 780, 546, 220 is 970990020.

2. How to calculate the LCM of 317, 306, 780, 546, 220?

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 317, 306, 780, 546, 220.

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}.