Given numbers are 104,864,560,953,782

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

The LCM of 104,864,560,953,782 is 146485553760.

Find LCM of 104,864,560,953,782 with Prime Factorization

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

2 x 2 x 2 x 2 x 13 x 54 x 35 x 953 x 391 = 146485553760

Therefore, the lowest common multiple of 104,864,560,953,782 is 146485553760.

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.

104 x 864 x 560 x 953 x 782 = 37500301762560

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.

104 : 1, 2, 4, 8, 13, 26, 52, 104

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

953 : 1, 953

782 : 1, 2, 17, 23, 34, 46, 391, 782

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 104,864,560,953,782, is 1.

Now, the common factors can be found like this.

104:2x 2x 2x 13

864:2x 2x 2x 2x 2x 3x 3x 3

560:2x 2x 2x 2x 5x 7

953:953

782:2x 17x 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 2x 2x 2x 2x 2x 2 = 256

Therefore, the value for common factors is 256.

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 = 37500301762560/(1x256)

LCM = 37500301762560/256

LCM = 146485553760

Thus, we can understand that the LCM of 104,864,560,953,782 is 146485553760.

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

• LCM of 481, 165, 378, 736, 786
• LCM of 804, 895, 936, 913, 191
• LCM of 992, 987, 133, 587, 932
• LCM of 996, 515, 712, 201, 369
• LCM of 508, 679, 143, 603, 995

1. What is the LCM of 104, 864, 560, 953, 782?

Answer: LCM of 104, 864, 560, 953, 782 is 146485553760.

2. How to calculate the LCM of 104, 864, 560, 953, 782?

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 104, 864, 560, 953, 782.

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}.