Given numbers are 968,892,307,696,856

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

The LCM of 968,892,307,696,856 is 616909738632.

Find LCM of 968,892,307,696,856 with Prime Factorization

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

2 x 2 x 2 x 121 x 223 x 307 x 87 x 107 = 616909738632

Therefore, the lowest common multiple of 968,892,307,696,856 is 616909738632.

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 892 x 307 x 696 x 856 = 157928893089792

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

892 : 1, 2, 4, 223, 446, 892

307 : 1, 307

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

856 : 1, 2, 4, 8, 107, 214, 428, 856

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 968,892,307,696,856, is 1.

Now, the common factors can be found like this.

968:2x 2x 2x 11x 11

892:2x 2x 223

307:307

696:2x 2x 2x 3x 29

856:2x 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 2x 2x 2x 2x 2 = 256

Therefore, the value for common factors is 256.

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 = 157928893089792/(1x256)

LCM = 157928893089792/256

LCM = 616909738632

Thus, we can understand that the LCM of 968,892,307,696,856 is 616909738632.

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

• LCM of 812, 870, 801, 592, 544
• LCM of 207, 910, 402, 365, 466
• LCM of 533, 140, 275, 906, 428
• LCM of 339, 142, 105, 158, 541
• LCM of 570, 264, 741, 954, 179

1. What is the LCM of 968, 892, 307, 696, 856?

Answer: LCM of 968, 892, 307, 696, 856 is 616909738632.

2. How to calculate the LCM of 968, 892, 307, 696, 856?

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, 892, 307, 696, 856.

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}.