Given numbers are 700,610,702,745,873

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

The LCM of 700,610,702,745,873 is 216617228100.

Find LCM of 700,610,702,745,873 with Prime Factorization

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

2 x 3 x 3 x 5 x 70 x 61 x 39 x 149 x 97 = 216617228100

Therefore, the lowest common multiple of 700,610,702,745,873 is 216617228100.

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 610 x 702 x 745 x 873 = 194955505290000

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

610 : 1, 2, 5, 10, 61, 122, 305, 610

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

745 : 1, 5, 149, 745

873 : 1, 3, 9, 97, 291, 873

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 700,610,702,745,873, is 1.

Now, the common factors can be found like this.

700:2x 2x 5x 5x 7

610:2x 5x 61

702:2x 3x 3x 3x 13

745:5x 149

873:3x 3x 97

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 3x 3x 5x 5 = 900

Therefore, the value for common factors is 900.

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 = 194955505290000/(1x900)

LCM = 194955505290000/900

LCM = 216617228100

Thus, we can understand that the LCM of 700,610,702,745,873 is 216617228100.

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

• LCM of 733, 472, 593, 892, 921
• LCM of 184, 157, 900, 262, 357
• LCM of 882, 217, 630, 315, 437
• LCM of 781, 336, 830, 935, 589
• LCM of 767, 379, 147, 678, 401

1. What is the LCM of 700, 610, 702, 745, 873?

Answer: LCM of 700, 610, 702, 745, 873 is 216617228100.

2. How to calculate the LCM of 700, 610, 702, 745, 873?

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, 610, 702, 745, 873.

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}.