Given numbers are 906,984,864,214

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

The LCM of 906,984,864,214 is 572345568.

Find LCM of 906,984,864,214 with Prime Factorization

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

2 x 2 x 2 x 3 x 151 x 41 x 36 x 107 = 572345568

Therefore, the lowest common multiple of 906,984,864,214 is 572345568.

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.

906 x 984 x 864 x 214 = 164835523584

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.

906 : 1, 2, 3, 6, 151, 302, 453, 906

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

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

214 : 1, 2, 107, 214

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,984,864,214, is 2.

Now, the common factors can be found like this.

906:2x 3x 151

984:2x 2x 2x 3x 41

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

214:2x 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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 164835523584/(2x144)

LCM = 164835523584/288

LCM = 572345568

Thus, we can understand that the LCM of 906,984,864,214 is 572345568.

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

• LCM of 213, 804, 685, 841
• LCM of 983, 130, 183, 867
• LCM of 560, 709, 111, 195
• LCM of 347, 298, 964, 198
• LCM of 259, 730, 625, 434

1. What is the LCM of 906, 984, 864, 214?

Answer: LCM of 906, 984, 864, 214 is 572345568.

2. How to calculate the LCM of 906, 984, 864, 214?

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 906, 984, 864, 214.

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}.