Given numbers are 360,684,638,748,845

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

The LCM of 360,684,638,748,845 is 6268771080.

Find LCM of 360,684,638,748,845 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 11 x 2 x 19 x 29 x 17 x 169 = 6268771080

Therefore, the lowest common multiple of 360,684,638,748,845 is 6268771080.

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.

360 x 684 x 638 x 748 x 845 = 99297333907200

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.

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

638 : 1, 2, 11, 22, 29, 58, 319, 638

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

845 : 1, 5, 13, 65, 169, 845

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 360,684,638,748,845, is 1.

Now, the common factors can be found like this.

360:2x 2x 2x 3x 3x 5

684:2x 2x 3x 3x 19

638:2x 11x 29

748:2x 2x 11x 17

845:5x 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 2x 2x 2x 3x 3x 5x 11 = 15840

Therefore, the value for common factors is 15840.

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 = 99297333907200/(1x15840)

LCM = 99297333907200/15840

LCM = 6268771080

Thus, we can understand that the LCM of 360,684,638,748,845 is 6268771080.

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

• LCM of 806, 184, 506, 890, 832
• LCM of 137, 740, 176, 529, 503
• LCM of 919, 604, 378, 116, 351
• LCM of 409, 337, 536, 838, 653
• LCM of 459, 687, 790, 274, 469

1. What is the LCM of 360, 684, 638, 748, 845?

Answer: LCM of 360, 684, 638, 748, 845 is 6268771080.

2. How to calculate the LCM of 360, 684, 638, 748, 845?

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 360, 684, 638, 748, 845.

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}.