Given numbers are 319,374,264,902,414

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

The LCM of 319,374,264,902,414 is 368200008.

Find LCM of 319,374,264,902,414 with Prime Factorization

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

2 x 3 x 11 x 29 x 17 x 4 x 41 x 69 = 368200008

Therefore, the lowest common multiple of 319,374,264,902,414 is 368200008.

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.

319 x 374 x 264 x 902 x 414 = 11761781055552

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.

319 : 1, 11, 29, 319

374 : 1, 2, 11, 17, 22, 34, 187, 374

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

902 : 1, 2, 11, 22, 41, 82, 451, 902

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,374,264,902,414, is 1.

Now, the common factors can be found like this.

319:11x 29

374:2x 11x 17

264:2x 2x 2x 3x 11

902:2x 11x 41

414:2x 3x 3x 23

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 11x 11x 11 = 31944

Therefore, the value for common factors is 31944.

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 = 11761781055552/(1x31944)

LCM = 11761781055552/31944

LCM = 368200008

Thus, we can understand that the LCM of 319,374,264,902,414 is 368200008.

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

• LCM of 355, 675, 571, 353, 727
• LCM of 608, 990, 436, 233, 927
• LCM of 163, 708, 610, 621, 310
• LCM of 849, 202, 510, 891, 336
• LCM of 393, 753, 776, 965, 598

1. What is the LCM of 319, 374, 264, 902, 414?

Answer: LCM of 319, 374, 264, 902, 414 is 368200008.

2. How to calculate the LCM of 319, 374, 264, 902, 414?

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 319, 374, 264, 902, 414.

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}.