Given numbers are 418,396,217,319,700

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

The LCM of 418,396,217,319,700 is 1183713300.

Find LCM of 418,396,217,319,700 with Prime Factorization

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

2 x 2 x 7 x 11 x 19 x 9 x 31 x 29 x 25 = 1183713300

Therefore, the lowest common multiple of 418,396,217,319,700 is 1183713300.

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.

418 x 396 x 217 x 319 x 700 = 8020841320800

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.

418 : 1, 2, 11, 19, 22, 38, 209, 418

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

217 : 1, 7, 31, 217

319 : 1, 11, 29, 319

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,396,217,319,700, is 1.

Now, the common factors can be found like this.

418:2x 11x 19

396:2x 2x 3x 3x 11

217:7x 31

319:11x 29

700:2x 2x 5x 5x 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 7x 11x 11 = 6776

Therefore, the value for common factors is 6776.

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 = 8020841320800/(1x6776)

LCM = 8020841320800/6776

LCM = 1183713300

Thus, we can understand that the LCM of 418,396,217,319,700 is 1183713300.

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

• LCM of 241, 969, 353, 826, 167
• LCM of 574, 188, 794, 993, 257
• LCM of 846, 330, 801, 245, 789
• LCM of 194, 138, 649, 221, 814
• LCM of 536, 464, 637, 495, 795

1. What is the LCM of 418, 396, 217, 319, 700?

Answer: LCM of 418, 396, 217, 319, 700 is 1183713300.

2. How to calculate the LCM of 418, 396, 217, 319, 700?

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 418, 396, 217, 319, 700.

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}.