Given numbers are 864,128,634,292

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

The LCM of 864,128,634,292 is 79975296.

Find LCM of 864,128,634,292 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 27 x 4 x 317 x 73 = 79975296

Therefore, the lowest common multiple of 864,128,634,292 is 79975296.

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.

864 x 128 x 634 x 292 = 20473675776

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.

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

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

634 : 1, 2, 317, 634

292 : 1, 2, 4, 73, 146, 292

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,128,634,292, is 2.

Now, the common factors can be found like this.

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

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

634:2x 317

292:2x 2x 73

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 2 = 128

Therefore, the value for common factors is 128.

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 = 20473675776/(2x128)

LCM = 20473675776/256

LCM = 79975296

Thus, we can understand that the LCM of 864,128,634,292 is 79975296.

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

• LCM of 465, 686, 190, 171
• LCM of 568, 382, 948, 294
• LCM of 723, 996, 775, 831
• LCM of 463, 839, 416, 572
• LCM of 765, 758, 406, 769

1. What is the LCM of 864, 128, 634, 292?

Answer: LCM of 864, 128, 634, 292 is 79975296.

2. How to calculate the LCM of 864, 128, 634, 292?

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 864, 128, 634, 292.

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}.