Given numbers are 700,638,566,102,189

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

The LCM of 700,638,566,102,189 is 29006000100.

Find LCM of 700,638,566,102,189 with Prime Factorization

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

2 x 3 x 7 x 50 x 319 x 283 x 17 x 9 = 29006000100

Therefore, the lowest common multiple of 700,638,566,102,189 is 29006000100.

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.

700 x 638 x 566 x 102 x 189 = 4873008016800

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.

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

638 : 1, 2, 11, 22, 29, 58, 319, 638

566 : 1, 2, 283, 566

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

189 : 1, 3, 7, 9, 21, 27, 63, 189

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 700,638,566,102,189, is 1.

Now, the common factors can be found like this.

700:2x 2x 5x 5x 7

638:2x 11x 29

566:2x 283

102:2x 3x 17

189:3x 3x 3x 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 3x 7 = 168

Therefore, the value for common factors is 168.

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 = 4873008016800/(1x168)

LCM = 4873008016800/168

LCM = 29006000100

Thus, we can understand that the LCM of 700,638,566,102,189 is 29006000100.

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

• LCM of 813, 778, 140, 823, 317
• LCM of 823, 746, 416, 502, 492
• LCM of 761, 411, 690, 817, 351
• LCM of 484, 368, 171, 388, 766
• LCM of 745, 317, 611, 945, 109

1. What is the LCM of 700, 638, 566, 102, 189?

Answer: LCM of 700, 638, 566, 102, 189 is 29006000100.

2. How to calculate the LCM of 700, 638, 566, 102, 189?

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 700, 638, 566, 102, 189.

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}.