Given numbers are 564,585,514,240,430

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

The LCM of 564,585,514,240,430 is 4861555920.

Find LCM of 564,585,514,240,430 with Prime Factorization

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

2 x 2 x 3 x 5 x 47 x 39 x 257 x 4 x 43 = 4861555920

Therefore, the lowest common multiple of 564,585,514,240,430 is 4861555920.

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 585 x 514 x 240 x 430 = 17501601312000

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

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

514 : 1, 2, 257, 514

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

430 : 1, 2, 5, 10, 43, 86, 215, 430

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,585,514,240,430, is 1.

Now, the common factors can be found like this.

564:2x 2x 3x 47

585:3x 3x 5x 13

514:2x 257

240:2x 2x 2x 2x 3x 5

430:2x 5x 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 2x 2x 3x 3x 5x 5 = 3600

Therefore, the value for common factors is 3600.

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 = 17501601312000/(1x3600)

LCM = 17501601312000/3600

LCM = 4861555920

Thus, we can understand that the LCM of 564,585,514,240,430 is 4861555920.

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

• LCM of 396, 570, 790, 521, 825
• LCM of 348, 157, 601, 359, 806
• LCM of 206, 149, 603, 836, 289
• LCM of 935, 638, 287, 621, 804
• LCM of 926, 431, 784, 623, 621

1. What is the LCM of 564, 585, 514, 240, 430?

Answer: LCM of 564, 585, 514, 240, 430 is 4861555920.

2. How to calculate the LCM of 564, 585, 514, 240, 430?

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, 585, 514, 240, 430.

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}.