Given numbers are 309,538,772,705

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

The LCM of 309,538,772,705 is 15079811820.

Find LCM of 309,538,772,705 with Prime Factorization

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

2 x 3 x 103 x 269 x 386 x 235 = 15079811820

Therefore, the lowest common multiple of 309,538,772,705 is 15079811820.

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.

309 x 538 x 772 x 705 = 90478870920

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.

309 : 1, 3, 103, 309

538 : 1, 2, 269, 538

772 : 1, 2, 4, 193, 386, 772

705 : 1, 3, 5, 15, 47, 141, 235, 705

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,538,772,705, is 1.

Now, the common factors can be found like this.

309:3x 103

538:2x 269

772:2x 2x 193

705:3x 5x 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 3 = 6

Therefore, the value for common factors is 6.

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 = 90478870920/(1x6)

LCM = 90478870920/6

LCM = 15079811820

Thus, we can understand that the LCM of 309,538,772,705 is 15079811820.

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

• LCM of 342, 158, 435, 890
• LCM of 753, 751, 739, 394
• LCM of 456, 959, 753, 562
• LCM of 280, 706, 809, 155
• LCM of 285, 266, 695, 745

1. What is the LCM of 309, 538, 772, 705?

Answer: LCM of 309, 538, 772, 705 is 15079811820.

2. How to calculate the LCM of 309, 538, 772, 705?

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 309, 538, 772, 705.

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}.