Given numbers are 702,722,687,990,180

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

The LCM of 702,722,687,990,180 is 6383700180.

Find LCM of 702,722,687,990,180 with Prime Factorization

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

2 x 3 x 3 x 5 x 39 x 361 x 229 x 11 x 2 = 6383700180

Therefore, the lowest common multiple of 702,722,687,990,180 is 6383700180.

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.

702 x 722 x 687 x 990 x 180 = 62049565749600

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.

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

722 : 1, 2, 19, 38, 361, 722

687 : 1, 3, 229, 687

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,722,687,990,180, is 1.

Now, the common factors can be found like this.

702:2x 3x 3x 3x 13

722:2x 19x 19

687:3x 229

990:2x 3x 3x 5x 11

180:2x 2x 3x 3x 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 3x 3x 3x 3x 3x 5 = 9720

Therefore, the value for common factors is 9720.

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 = 62049565749600/(1x9720)

LCM = 62049565749600/9720

LCM = 6383700180

Thus, we can understand that the LCM of 702,722,687,990,180 is 6383700180.

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

• LCM of 382, 751, 776, 848, 932
• LCM of 363, 203, 594, 507, 383
• LCM of 689, 367, 301, 724, 580
• LCM of 366, 975, 332, 459, 928
• LCM of 726, 642, 562, 783, 186

1. What is the LCM of 702, 722, 687, 990, 180?

Answer: LCM of 702, 722, 687, 990, 180 is 6383700180.

2. How to calculate the LCM of 702, 722, 687, 990, 180?

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 702, 722, 687, 990, 180.

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}.