Given numbers are 936,790,894,165,564

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

The LCM of 936,790,894,165,564 is 28480640760.

Find LCM of 936,790,894,165,564 with Prime Factorization

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

2 x 2 x 3 x 5 x 78 x 79 x 149 x 11 x 47 = 28480640760

Therefore, the lowest common multiple of 936,790,894,165,564 is 28480640760.

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.

936 x 790 x 894 x 165 x 564 = 61518184041600

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.

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

790 : 1, 2, 5, 10, 79, 158, 395, 790

894 : 1, 2, 3, 6, 149, 298, 447, 894

165 : 1, 3, 5, 11, 15, 33, 55, 165

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,790,894,165,564, is 1.

Now, the common factors can be found like this.

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

790:2x 5x 79

894:2x 3x 149

165:3x 5x 11

564:2x 2x 3x 47

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 3x 3x 5 = 2160

Therefore, the value for common factors is 2160.

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 = 61518184041600/(1x2160)

LCM = 61518184041600/2160

LCM = 28480640760

Thus, we can understand that the LCM of 936,790,894,165,564 is 28480640760.

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

• LCM of 953, 179, 213, 925, 768
• LCM of 476, 647, 967, 727, 826
• LCM of 527, 819, 934, 852, 226
• LCM of 823, 574, 308, 300, 124
• LCM of 731, 633, 871, 168, 646

1. What is the LCM of 936, 790, 894, 165, 564?

Answer: LCM of 936, 790, 894, 165, 564 is 28480640760.

2. How to calculate the LCM of 936, 790, 894, 165, 564?

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 936, 790, 894, 165, 564.

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}.