Given numbers are 813,831,978,368,428

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

The LCM of 813,831,978,368,428 is 1445404875888.

Find LCM of 813,831,978,368,428 with Prime Factorization

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

2 x 2 x 3 x 271 x 277 x 163 x 92 x 107 = 1445404875888

Therefore, the lowest common multiple of 813,831,978,368,428 is 1445404875888.

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.

813 x 831 x 978 x 368 x 428 = 104069151063936

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.

813 : 1, 3, 271, 813

831 : 1, 3, 277, 831

978 : 1, 2, 3, 6, 163, 326, 489, 978

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,831,978,368,428, is 1.

Now, the common factors can be found like this.

813:3x 271

831:3x 277

978:2x 3x 163

368:2x 2x 2x 2x 23

428:2x 2x 107

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 3 = 72

Therefore, the value for common factors is 72.

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 = 104069151063936/(1x72)

LCM = 104069151063936/72

LCM = 1445404875888

Thus, we can understand that the LCM of 813,831,978,368,428 is 1445404875888.

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

• LCM of 424, 689, 474, 312, 633
• LCM of 916, 171, 401, 369, 782
• LCM of 697, 370, 374, 496, 575
• LCM of 405, 846, 101, 824, 955
• LCM of 410, 109, 150, 640, 725

1. What is the LCM of 813, 831, 978, 368, 428?

Answer: LCM of 813, 831, 978, 368, 428 is 1445404875888.

2. How to calculate the LCM of 813, 831, 978, 368, 428?

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 813, 831, 978, 368, 428.

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}.