Given numbers are 968,728,754,485,406

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

The LCM of 968,728,754,485,406 is 1238957720.

Find LCM of 968,728,754,485,406 with Prime Factorization

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

2 x 2 x 2 x 7 x 13 x 29 x 121 x 1 x 1 x 485 x 1 = 1238957720

Therefore, the lowest common multiple of 968,728,754,485,406 is 1238957720.

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.

968 x 728 x 754 x 485 x 406 = 104627501538560

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.

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

754 : 1, 2, 13, 26, 29, 58, 377, 754

485 : 1, 5, 97, 485

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 968,728,754,485,406, is 1.

Now, the common factors can be found like this.

968:2x 2x 2x 11x 11

728:2x 2x 2x 7x 13

754:2x 13x 29

485:5x 97

406:2x 7x 29

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 2x 7x 13x 29 = 84448

Therefore, the value for common factors is 84448.

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 = 104627501538560/(1x84448)

LCM = 104627501538560/84448

LCM = 1238957720

Thus, we can understand that the LCM of 968,728,754,485,406 is 1238957720.

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

• LCM of 912, 768, 564, 891, 380
• LCM of 424, 370, 567, 549, 208
• LCM of 574, 692, 983, 995, 227
• LCM of 561, 188, 279, 735, 330
• LCM of 687, 415, 286, 155, 323

1. What is the LCM of 968, 728, 754, 485, 406?

Answer: LCM of 968, 728, 754, 485, 406 is 1238957720.

2. How to calculate the LCM of 968, 728, 754, 485, 406?

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 968, 728, 754, 485, 406.

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}.