Given numbers are 834,910,128,377,974

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

The LCM of 834,910,128,377,974 is 342992307840.

Find LCM of 834,910,128,377,974 with Prime Factorization

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

2 x 13 x 417 x 35 x 64 x 29 x 487 = 342992307840

Therefore, the lowest common multiple of 834,910,128,377,974 is 342992307840.

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 910 x 128 x 377 x 974 = 35671200015360

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

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

128 : 1, 2, 4, 8, 16, 32, 64, 128

377 : 1, 13, 29, 377

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,910,128,377,974, is 1.

Now, the common factors can be found like this.

834:2x 3x 139

910:2x 5x 7x 13

128:2x 2x 2x 2x 2x 2x 2

377:13x 29

974:2x 487

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 13 = 104

Therefore, the value for common factors is 104.

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 = 35671200015360/(1x104)

LCM = 35671200015360/104

LCM = 342992307840

Thus, we can understand that the LCM of 834,910,128,377,974 is 342992307840.

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

• LCM of 570, 435, 262, 727, 485
• LCM of 696, 730, 605, 867, 606
• LCM of 609, 766, 774, 488, 187
• LCM of 616, 658, 424, 109, 944
• LCM of 582, 548, 315, 423, 604

1. What is the LCM of 834, 910, 128, 377, 974?

Answer: LCM of 834, 910, 128, 377, 974 is 342992307840.

2. How to calculate the LCM of 834, 910, 128, 377, 974?

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, 910, 128, 377, 974.

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}.