Given numbers are 961,922,538,461,864

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

The LCM of 961,922,538,461,864 is 102965168736.

Find LCM of 961,922,538,461,864 with Prime Factorization

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

2 x 461 x 961 x 1 x 269 x 1 x 432 = 102965168736

Therefore, the lowest common multiple of 961,922,538,461,864 is 102965168736.

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.

961 x 922 x 538 x 461 x 864 = 189867771149184

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.

961 : 1, 31, 961

922 : 1, 2, 461, 922

538 : 1, 2, 269, 538

461 : 1, 461

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 961,922,538,461,864, is 1.

Now, the common factors can be found like this.

961:31x 31

922:2x 461

538:2x 269

461:461

864:2x 2x 2x 2x 2x 3x 3x 3

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 461 = 1844

Therefore, the value for common factors is 1844.

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 = 189867771149184/(1x1844)

LCM = 189867771149184/1844

LCM = 102965168736

Thus, we can understand that the LCM of 961,922,538,461,864 is 102965168736.

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

• LCM of 166, 170, 408, 566, 570
• LCM of 338, 764, 271, 749, 820
• LCM of 933, 607, 543, 368, 691
• LCM of 493, 765, 766, 511, 907
• LCM of 233, 226, 536, 480, 858

1. What is the LCM of 961, 922, 538, 461, 864?

Answer: LCM of 961, 922, 538, 461, 864 is 102965168736.

2. How to calculate the LCM of 961, 922, 538, 461, 864?

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 961, 922, 538, 461, 864.

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}.