Given numbers are 936,107,620,460,288

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

The LCM of 936,107,620,460,288 is 1428167520.

Find LCM of 936,107,620,460,288 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 5 x 13 x 107 x 31 x 23 x 4 = 1428167520

Therefore, the lowest common multiple of 936,107,620,460,288 is 1428167520.

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.

936 x 107 x 620 x 460 x 288 = 8226244915200

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.

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

107 : 1, 107

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,107,620,460,288, is 1.

Now, the common factors can be found like this.

936:2x 2x 2x 3x 3x 13

107:107

620:2x 2x 5x 31

460:2x 2x 5x 23

288:2x 2x 2x 2x 2x 3x 3

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 2x 3x 3x 5 = 5760

Therefore, the value for common factors is 5760.

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 = 8226244915200/(1x5760)

LCM = 8226244915200/5760

LCM = 1428167520

Thus, we can understand that the LCM of 936,107,620,460,288 is 1428167520.

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

• LCM of 291, 488, 494, 235, 359
• LCM of 950, 369, 114, 143, 787
• LCM of 371, 618, 455, 137, 804
• LCM of 780, 365, 553, 954, 386
• LCM of 370, 460, 893, 814, 185

1. What is the LCM of 936, 107, 620, 460, 288?

Answer: LCM of 936, 107, 620, 460, 288 is 1428167520.

2. How to calculate the LCM of 936, 107, 620, 460, 288?

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 936, 107, 620, 460, 288.

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}.