Given numbers are 368,902,590,258,369

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

The LCM of 368,902,590,258,369 is 18947736720.

Find LCM of 368,902,590,258,369 with Prime Factorization

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

2 x 3 x 41 x 184 x 11 x 295 x 43 x 3 = 18947736720

Therefore, the lowest common multiple of 368,902,590,258,369 is 18947736720.

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.

368 x 902 x 590 x 258 x 369 = 18644572932480

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.

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

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

590 : 1, 2, 5, 10, 59, 118, 295, 590

258 : 1, 2, 3, 6, 43, 86, 129, 258

369 : 1, 3, 9, 41, 123, 369

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,902,590,258,369, is 1.

Now, the common factors can be found like this.

368:2x 2x 2x 2x 23

902:2x 11x 41

590:2x 5x 59

258:2x 3x 43

369:3x 3x 41

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 41 = 984

Therefore, the value for common factors is 984.

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 = 18644572932480/(1x984)

LCM = 18644572932480/984

LCM = 18947736720

Thus, we can understand that the LCM of 368,902,590,258,369 is 18947736720.

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

• LCM of 817, 642, 866, 260, 418
• LCM of 420, 647, 606, 573, 952
• LCM of 978, 403, 645, 374, 976
• LCM of 292, 804, 602, 212, 278
• LCM of 832, 245, 896, 233, 519

1. What is the LCM of 368, 902, 590, 258, 369?

Answer: LCM of 368, 902, 590, 258, 369 is 18947736720.

2. How to calculate the LCM of 368, 902, 590, 258, 369?

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 368, 902, 590, 258, 369.

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}.