Given numbers are 702,164,338,214,545

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

The LCM of 702,164,338,214,545 is 43638980580.

Find LCM of 702,164,338,214,545 with Prime Factorization

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

2 x 13 x 27 x 82 x 13 x 107 x 545 = 43638980580

Therefore, the lowest common multiple of 702,164,338,214,545 is 43638980580.

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 164 x 338 x 214 x 545 = 4538453980320

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

164 : 1, 2, 4, 41, 82, 164

338 : 1, 2, 13, 26, 169, 338

214 : 1, 2, 107, 214

545 : 1, 5, 109, 545

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,164,338,214,545, is 1.

Now, the common factors can be found like this.

702:2x 3x 3x 3x 13

164:2x 2x 41

338:2x 13x 13

214:2x 107

545:5x 109

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 13 = 104

Therefore, the value for common factors is 104.

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 = 4538453980320/(1x104)

LCM = 4538453980320/104

LCM = 43638980580

Thus, we can understand that the LCM of 702,164,338,214,545 is 43638980580.

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

• LCM of 745, 392, 789, 361, 382
• LCM of 224, 326, 638, 601, 812
• LCM of 518, 250, 801, 634, 135
• LCM of 267, 490, 206, 844, 507
• LCM of 387, 873, 676, 482, 584

1. What is the LCM of 702, 164, 338, 214, 545?

Answer: LCM of 702, 164, 338, 214, 545 is 43638980580.

2. How to calculate the LCM of 702, 164, 338, 214, 545?

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, 164, 338, 214, 545.

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}.