Given numbers are 564,307,440,427

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

The LCM of 564,307,440,427 is 8132761560.

Find LCM of 564,307,440,427 with Prime Factorization

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

2 x 2 x 141 x 307 x 110 x 427 = 8132761560

Therefore, the lowest common multiple of 564,307,440,427 is 8132761560.

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.

564 x 307 x 440 x 427 = 32531046240

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.

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

307 : 1, 307

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

427 : 1, 7, 61, 427

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,307,440,427, is 1.

Now, the common factors can be found like this.

564:2x 2x 3x 47

307:307

440:2x 2x 2x 5x 11

427:7x 61

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 32531046240/(1x4)

LCM = 32531046240/4

LCM = 8132761560

Thus, we can understand that the LCM of 564,307,440,427 is 8132761560.

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

• LCM of 200, 612, 503, 954
• LCM of 920, 705, 948, 179
• LCM of 304, 760, 527, 589
• LCM of 413, 572, 309, 810
• LCM of 134, 295, 962, 203

1. What is the LCM of 564, 307, 440, 427?

Answer: LCM of 564, 307, 440, 427 is 8132761560.

2. How to calculate the LCM of 564, 307, 440, 427?

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 564, 307, 440, 427.

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}.