Given numbers are 102,780,668,500

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

The LCM of 102,780,668,500 is 55360500.

Find LCM of 102,780,668,500 with Prime Factorization

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

2 x 2 x 3 x 5 x 17 x 13 x 167 x 25 = 55360500

Therefore, the lowest common multiple of 102,780,668,500 is 55360500.

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.

102 x 780 x 668 x 500 = 26573040000

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.

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

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

668 : 1, 2, 4, 167, 334, 668

500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 102,780,668,500, is 2.

Now, the common factors can be found like this.

102:2x 3x 17

780:2x 2x 3x 5x 13

668:2x 2x 167

500:2x 2x 5x 5x 5

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 5 = 240

Therefore, the value for common factors is 240.

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 = 26573040000/(2x240)

LCM = 26573040000/480

LCM = 55360500

Thus, we can understand that the LCM of 102,780,668,500 is 55360500.

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

• LCM of 688, 326, 181, 961
• LCM of 143, 589, 946, 712
• LCM of 840, 636, 972, 467
• LCM of 427, 447, 365, 592
• LCM of 606, 181, 368, 229

1. What is the LCM of 102, 780, 668, 500?

Answer: LCM of 102, 780, 668, 500 is 55360500.

2. How to calculate the LCM of 102, 780, 668, 500?

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 102, 780, 668, 500.

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}.