Given numbers are 305,864,314,868

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

The LCM of 305,864,314,868 is 8977862880.

Find LCM of 305,864,314,868 with Prime Factorization

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

2 x 2 x 305 x 216 x 157 x 217 = 8977862880

Therefore, the lowest common multiple of 305,864,314,868 is 8977862880.

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.

305 x 864 x 314 x 868 = 71822903040

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.

305 : 1, 5, 61, 305

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

314 : 1, 2, 157, 314

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,864,314,868, is 1.

Now, the common factors can be found like this.

305:5x 61

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

314:2x 157

868:2x 2x 7x 31

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 2 = 8

Therefore, the value for common factors is 8.

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 = 71822903040/(1x8)

LCM = 71822903040/8

LCM = 8977862880

Thus, we can understand that the LCM of 305,864,314,868 is 8977862880.

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

• LCM of 458, 662, 396, 846
• LCM of 607, 102, 847, 684
• LCM of 960, 298, 357, 359
• LCM of 280, 710, 474, 875
• LCM of 982, 575, 123, 857

1. What is the LCM of 305, 864, 314, 868?

Answer: LCM of 305, 864, 314, 868 is 8977862880.

2. How to calculate the LCM of 305, 864, 314, 868?

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 305, 864, 314, 868.

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}.