Given numbers are 906,585,798,936

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

The LCM of 906,585,798,936 is 93988440.

Find LCM of 906,585,798,936 with Prime Factorization

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

2 x 3 x 3 x 13 x 151 x 5 x 133 x 4 = 93988440

Therefore, the lowest common multiple of 906,585,798,936 is 93988440.

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 585 x 798 x 936 = 395879309280

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

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,585,798,936, is 3.

Now, the common factors can be found like this.

906:2x 3x 151

585:3x 3x 5x 13

798:2x 3x 7x 19

936:2x 2x 2x 3x 3x 13

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 3x 3x 3x 13 = 1404

Therefore, the value for common factors is 1404.

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 = 395879309280/(3x1404)

LCM = 395879309280/4212

LCM = 93988440

Thus, we can understand that the LCM of 906,585,798,936 is 93988440.

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

• LCM of 406, 602, 538, 675
• LCM of 800, 536, 899, 440
• LCM of 619, 359, 372, 179
• LCM of 972, 389, 956, 315
• LCM of 544, 703, 143, 920

1. What is the LCM of 906, 585, 798, 936?

Answer: LCM of 906, 585, 798, 936 is 93988440.

2. How to calculate the LCM of 906, 585, 798, 936?

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, 585, 798, 936.

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}.