Given numbers are 834,782,498,350,564

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

The LCM of 834,782,498,350,564 is 445232442900.

Find LCM of 834,782,498,350,564 with Prime Factorization

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

2 x 3 x 139 x 391 x 83 x 175 x 94 = 445232442900

Therefore, the lowest common multiple of 834,782,498,350,564 is 445232442900.

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.

834 x 782 x 498 x 350 x 564 = 64113471777600

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.

834 : 1, 2, 3, 6, 139, 278, 417, 834

782 : 1, 2, 17, 23, 34, 46, 391, 782

498 : 1, 2, 3, 6, 83, 166, 249, 498

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,782,498,350,564, is 2.

Now, the common factors can be found like this.

834:2x 3x 139

782:2x 17x 23

498:2x 3x 83

350:2x 5x 5x 7

564:2x 2x 3x 47

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 = 64113471777600/(2x72)

LCM = 64113471777600/144

LCM = 445232442900

Thus, we can understand that the LCM of 834,782,498,350,564 is 445232442900.

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

• LCM of 520, 463, 218, 471, 844
• LCM of 315, 428, 544, 544, 262
• LCM of 370, 274, 861, 734, 222
• LCM of 995, 634, 429, 611, 366
• LCM of 837, 516, 102, 536, 769

1. What is the LCM of 834, 782, 498, 350, 564?

Answer: LCM of 834, 782, 498, 350, 564 is 445232442900.

2. How to calculate the LCM of 834, 782, 498, 350, 564?

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 834, 782, 498, 350, 564.

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}.