Given numbers are 840,354,642,828,443

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

The LCM of 840,354,642,828,443 is 162094355640.

Find LCM of 840,354,642,828,443 with Prime Factorization

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

2 x 2 x 3 x 70 x 59 x 107 x 69 x 443 = 162094355640

Therefore, the lowest common multiple of 840,354,642,828,443 is 162094355640.

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.

840 x 354 x 642 x 828 x 443 = 70024761636480

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.

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

354 : 1, 2, 3, 6, 59, 118, 177, 354

642 : 1, 2, 3, 6, 107, 214, 321, 642

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

443 : 1, 443

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,354,642,828,443, is 1.

Now, the common factors can be found like this.

840:2x 2x 2x 3x 5x 7

354:2x 3x 59

642:2x 3x 107

828:2x 2x 3x 3x 23

443:443

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 3x 3x 3 = 432

Therefore, the value for common factors is 432.

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 = 70024761636480/(1x432)

LCM = 70024761636480/432

LCM = 162094355640

Thus, we can understand that the LCM of 840,354,642,828,443 is 162094355640.

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

• LCM of 383, 131, 683, 640, 227
• LCM of 619, 433, 880, 985, 262
• LCM of 827, 818, 581, 138, 690
• LCM of 741, 242, 380, 879, 577
• LCM of 167, 835, 818, 417, 383

1. What is the LCM of 840, 354, 642, 828, 443?

Answer: LCM of 840, 354, 642, 828, 443 is 162094355640.

2. How to calculate the LCM of 840, 354, 642, 828, 443?

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 840, 354, 642, 828, 443.

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}.