Given numbers are 702,609,593,408,338

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

The LCM of 702,609,593,408,338 is 74703355272.

Find LCM of 702,609,593,408,338 with Prime Factorization

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

2 x 3 x 13 x 9 x 203 x 593 x 68 x 13 = 74703355272

Therefore, the lowest common multiple of 702,609,593,408,338 is 74703355272.

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 609 x 593 x 408 x 338 = 34961170267296

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

609 : 1, 3, 7, 21, 29, 87, 203, 609

593 : 1, 593

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,609,593,408,338, is 1.

Now, the common factors can be found like this.

702:2x 3x 3x 3x 13

609:3x 7x 29

593:593

408:2x 2x 2x 3x 17

338:2x 13x 13

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 13 = 468

Therefore, the value for common factors is 468.

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 = 34961170267296/(1x468)

LCM = 34961170267296/468

LCM = 74703355272

Thus, we can understand that the LCM of 702,609,593,408,338 is 74703355272.

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

• LCM of 993, 225, 848, 857, 475
• LCM of 263, 657, 413, 148, 417
• LCM of 599, 167, 133, 416, 900
• LCM of 680, 880, 392, 835, 526
• LCM of 981, 413, 458, 527, 108

1. What is the LCM of 702, 609, 593, 408, 338?

Answer: LCM of 702, 609, 593, 408, 338 is 74703355272.

2. How to calculate the LCM of 702, 609, 593, 408, 338?

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, 609, 593, 408, 338.

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}.