Given numbers are 564,395,594,990

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

The LCM of 564,395,594,990 is 22055220.

Find LCM of 564,395,594,990 with Prime Factorization

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

2 x 3 x 3 x 5 x 11 x 94 x 79 x 3 x 1 = 22055220

Therefore, the lowest common multiple of 564,395,594,990 is 22055220.

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 395 x 594 x 990 = 131008006800

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

395 : 1, 5, 79, 395

594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,395,594,990, is 1.

Now, the common factors can be found like this.

564:2x 2x 3x 47

395:5x 79

594:2x 3x 3x 3x 11

990:2x 3x 3x 5x 11

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 5x 11 = 5940

Therefore, the value for common factors is 5940.

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 = 131008006800/(1x5940)

LCM = 131008006800/5940

LCM = 22055220

Thus, we can understand that the LCM of 564,395,594,990 is 22055220.

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

• LCM of 632, 380, 329, 332
• LCM of 686, 472, 561, 567
• LCM of 721, 600, 718, 264
• LCM of 767, 159, 522, 128
• LCM of 294, 592, 677, 608

1. What is the LCM of 564, 395, 594, 990?

Answer: LCM of 564, 395, 594, 990 is 22055220.

2. How to calculate the LCM of 564, 395, 594, 990?

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, 395, 594, 990.

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}.