Given numbers are 878,102,708,642,896

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

The LCM of 878,102,708,642,896 is 126642214272.

Find LCM of 878,102,708,642,896 with Prime Factorization

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

2 x 2 x 3 x 439 x 17 x 59 x 107 x 224 = 126642214272

Therefore, the lowest common multiple of 878,102,708,642,896 is 126642214272.

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.

878 x 102 x 708 x 642 x 896 = 36472957710336

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.

878 : 1, 2, 439, 878

102 : 1, 2, 3, 6, 17, 34, 51, 102

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

642 : 1, 2, 3, 6, 107, 214, 321, 642

896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 878,102,708,642,896, is 2.

Now, the common factors can be found like this.

878:2x 439

102:2x 3x 17

708:2x 2x 3x 59

642:2x 3x 107

896:2x 2x 2x 2x 2x 2x 2x 7

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 3 = 144

Therefore, the value for common factors is 144.

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 = 36472957710336/(2x144)

LCM = 36472957710336/288

LCM = 126642214272

Thus, we can understand that the LCM of 878,102,708,642,896 is 126642214272.

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

• LCM of 448, 488, 860, 747, 931
• LCM of 783, 118, 973, 606, 668
• LCM of 985, 523, 560, 823, 150
• LCM of 152, 439, 458, 192, 983
• LCM of 802, 811, 448, 668, 205

1. What is the LCM of 878, 102, 708, 642, 896?

Answer: LCM of 878, 102, 708, 642, 896 is 126642214272.

2. How to calculate the LCM of 878, 102, 708, 642, 896?

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 878, 102, 708, 642, 896.

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}.