Given numbers are 834,759,258,396,462

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

The LCM of 834,759,258,396,462 is 381069612.

Find LCM of 834,759,258,396,462 with Prime Factorization

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

2 x 3 x 11 x 139 x 23 x 43 x 6 x 7 = 381069612

Therefore, the lowest common multiple of 834,759,258,396,462 is 381069612.

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 759 x 258 x 396 x 462 = 29878906137696

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

759 : 1, 3, 11, 23, 33, 69, 253, 759

258 : 1, 2, 3, 6, 43, 86, 129, 258

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,759,258,396,462, is 3.

Now, the common factors can be found like this.

834:2x 3x 139

759:3x 11x 23

258:2x 3x 43

396:2x 2x 3x 3x 11

462:2x 3x 7x 11

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 3x 3x 11x 11 = 26136

Therefore, the value for common factors is 26136.

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 = 29878906137696/(3x26136)

LCM = 29878906137696/78408

LCM = 381069612

Thus, we can understand that the LCM of 834,759,258,396,462 is 381069612.

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

• LCM of 275, 666, 680, 384, 514
• LCM of 380, 831, 630, 898, 753
• LCM of 597, 368, 733, 477, 932
• LCM of 787, 366, 155, 187, 748
• LCM of 959, 466, 647, 453, 455

1. What is the LCM of 834, 759, 258, 396, 462?

Answer: LCM of 834, 759, 258, 396, 462 is 381069612.

2. How to calculate the LCM of 834, 759, 258, 396, 462?

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, 759, 258, 396, 462.

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}.