Given numbers are 368,624,920,856,269

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

The LCM of 368,624,920,856,269 is 2065468080.

Find LCM of 368,624,920,856,269 with Prime Factorization

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

2 x 2 x 2 x 2 x 23 x 1 x 39 x 5 x 107 x 269 = 2065468080

Therefore, the lowest common multiple of 368,624,920,856,269 is 2065468080.

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 624 x 920 x 856 x 269 = 48645904220160

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

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

856 : 1, 2, 4, 8, 107, 214, 428, 856

269 : 1, 269

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,624,920,856,269, is 1.

Now, the common factors can be found like this.

368:2x 2x 2x 2x 23

624:2x 2x 2x 2x 3x 13

920:2x 2x 2x 5x 23

856:2x 2x 2x 107

269:269

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 2x 2x 2x 2x 23 = 23552

Therefore, the value for common factors is 23552.

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 = 48645904220160/(1x23552)

LCM = 48645904220160/23552

LCM = 2065468080

Thus, we can understand that the LCM of 368,624,920,856,269 is 2065468080.

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

• LCM of 242, 785, 768, 571, 525
• LCM of 150, 370, 273, 760, 736
• LCM of 933, 610, 515, 149, 161
• LCM of 891, 220, 298, 538, 445
• LCM of 358, 328, 205, 228, 544

1. What is the LCM of 368, 624, 920, 856, 269?

Answer: LCM of 368, 624, 920, 856, 269 is 2065468080.

2. How to calculate the LCM of 368, 624, 920, 856, 269?

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, 624, 920, 856, 269.

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}.