Given numbers are 106,700,780,360,814

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

The LCM of 106,700,780,360,814 is 3533329800.

Find LCM of 106,700,780,360,814 with Prime Factorization

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

2 x 2 x 3 x 5 x 53 x 35 x 13 x 6 x 407 = 3533329800

Therefore, the lowest common multiple of 106,700,780,360,814 is 3533329800.

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.

106 x 700 x 780 x 360 x 814 = 16959983040000

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.

106 : 1, 2, 53, 106

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

814 : 1, 2, 11, 22, 37, 74, 407, 814

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,700,780,360,814, is 2.

Now, the common factors can be found like this.

106:2x 53

700:2x 2x 5x 5x 7

780:2x 2x 3x 5x 13

360:2x 2x 2x 3x 3x 5

814:2x 11x 37

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 3x 5x 5 = 2400

Therefore, the value for common factors is 2400.

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 = 16959983040000/(2x2400)

LCM = 16959983040000/4800

LCM = 3533329800

Thus, we can understand that the LCM of 106,700,780,360,814 is 3533329800.

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

• LCM of 857, 272, 365, 187, 811
• LCM of 805, 315, 919, 411, 117
• LCM of 658, 198, 465, 543, 592
• LCM of 679, 945, 981, 725, 847
• LCM of 627, 676, 231, 375, 653

1. What is the LCM of 106, 700, 780, 360, 814?

Answer: LCM of 106, 700, 780, 360, 814 is 3533329800.

2. How to calculate the LCM of 106, 700, 780, 360, 814?

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 106, 700, 780, 360, 814.

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}.