Given numbers are 282,501,306,891,920

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

The LCM of 282,501,306,891,920 is 109377698760.

Find LCM of 282,501,306,891,920 with Prime Factorization

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

2 x 3 x 3 x 47 x 167 x 17 x 99 x 460 = 109377698760

Therefore, the lowest common multiple of 282,501,306,891,920 is 109377698760.

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.

282 x 501 x 306 x 891 x 920 = 35438374398240

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.

282 : 1, 2, 3, 6, 47, 94, 141, 282

501 : 1, 3, 167, 501

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

891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,501,306,891,920, is 1.

Now, the common factors can be found like this.

282:2x 3x 47

501:3x 167

306:2x 3x 3x 17

891:3x 3x 3x 3x 11

920:2x 2x 2x 5x 23

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 3x 3 = 324

Therefore, the value for common factors is 324.

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 = 35438374398240/(1x324)

LCM = 35438374398240/324

LCM = 109377698760

Thus, we can understand that the LCM of 282,501,306,891,920 is 109377698760.

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

• LCM of 712, 359, 410, 411, 535
• LCM of 116, 953, 636, 786, 980
• LCM of 980, 218, 886, 188, 759
• LCM of 551, 287, 165, 880, 721
• LCM of 786, 271, 412, 656, 773

1. What is the LCM of 282, 501, 306, 891, 920?

Answer: LCM of 282, 501, 306, 891, 920 is 109377698760.

2. How to calculate the LCM of 282, 501, 306, 891, 920?

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 282, 501, 306, 891, 920.

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}.