Given numbers are 802,625,702,214,910

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

The LCM of 802,625,702,214,910 is 131778123750.

Find LCM of 802,625,702,214,910 with Prime Factorization

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

2 x 5 x 13 x 401 x 125 x 27 x 107 x 7 = 131778123750

Therefore, the lowest common multiple of 802,625,702,214,910 is 131778123750.

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.

802 x 625 x 702 x 214 x 910 = 68524624350000

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.

802 : 1, 2, 401, 802

625 : 1, 5, 25, 125, 625

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

214 : 1, 2, 107, 214

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 802,625,702,214,910, is 1.

Now, the common factors can be found like this.

802:2x 401

625:5x 5x 5x 5

702:2x 3x 3x 3x 13

214:2x 107

910:2x 5x 7x 13

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 5x 13 = 520

Therefore, the value for common factors is 520.

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 = 68524624350000/(1x520)

LCM = 68524624350000/520

LCM = 131778123750

Thus, we can understand that the LCM of 802,625,702,214,910 is 131778123750.

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

• LCM of 657, 438, 394, 606, 156
• LCM of 985, 741, 562, 889, 325
• LCM of 131, 918, 376, 668, 788
• LCM of 278, 797, 743, 262, 809
• LCM of 652, 577, 593, 576, 535

1. What is the LCM of 802, 625, 702, 214, 910?

Answer: LCM of 802, 625, 702, 214, 910 is 131778123750.

2. How to calculate the LCM of 802, 625, 702, 214, 910?

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 802, 625, 702, 214, 910.

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}.