Given numbers are 305,942,936,774

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

The LCM of 305,942,936,774 is 1927275480.

Find LCM of 305,942,936,774 with Prime Factorization

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

2 x 3 x 3 x 305 x 157 x 52 x 43 = 1927275480

Therefore, the lowest common multiple of 305,942,936,774 is 1927275480.

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 942 x 936 x 774 = 208145751840

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

942 : 1, 2, 3, 6, 157, 314, 471, 942

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

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,942,936,774, is 1.

Now, the common factors can be found like this.

305:5x 61

942:2x 3x 157

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

774:2x 3x 3x 43

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 3 = 108

Therefore, the value for common factors is 108.

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 = 208145751840/(1x108)

LCM = 208145751840/108

LCM = 1927275480

Thus, we can understand that the LCM of 305,942,936,774 is 1927275480.

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

• LCM of 188, 561, 423, 347
• LCM of 312, 212, 170, 890
• LCM of 673, 217, 667, 155
• LCM of 880, 717, 469, 144
• LCM of 793, 133, 829, 643

1. What is the LCM of 305, 942, 936, 774?

Answer: LCM of 305, 942, 936, 774 is 1927275480.

2. How to calculate the LCM of 305, 942, 936, 774?

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, 942, 936, 774.

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}.