Given numbers are 368,607,460,420,356

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

The LCM of 368,607,460,420,356 is 2087448720.

Find LCM of 368,607,460,420,356 with Prime Factorization

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

2 x 2 x 5 x 23 x 4 x 607 x 1 x 21 x 89 = 2087448720

Therefore, the lowest common multiple of 368,607,460,420,356 is 2087448720.

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 607 x 460 x 420 x 356 = 15363622579200

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

607 : 1, 607

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

356 : 1, 2, 4, 89, 178, 356

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,607,460,420,356, is 1.

Now, the common factors can be found like this.

368:2x 2x 2x 2x 23

607:607

460:2x 2x 5x 23

420:2x 2x 3x 5x 7

356:2x 2x 89

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 2x 2x 2x 5x 23 = 7360

Therefore, the value for common factors is 7360.

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 = 15363622579200/(1x7360)

LCM = 15363622579200/7360

LCM = 2087448720

Thus, we can understand that the LCM of 368,607,460,420,356 is 2087448720.

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

• LCM of 711, 870, 203, 351, 734
• LCM of 404, 908, 481, 369, 827
• LCM of 499, 884, 513, 413, 947
• LCM of 885, 854, 655, 912, 979
• LCM of 732, 278, 438, 857, 682

1. What is the LCM of 368, 607, 460, 420, 356?

Answer: LCM of 368, 607, 460, 420, 356 is 2087448720.

2. How to calculate the LCM of 368, 607, 460, 420, 356?

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, 607, 460, 420, 356.

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}.