Given numbers are 513,444,350,318,568

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

The LCM of 513,444,350,318,568 is 99995704200.

Find LCM of 513,444,350,318,568 with Prime Factorization

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

2 x 2 x 3 x 171 x 37 x 175 x 53 x 142 = 99995704200

Therefore, the lowest common multiple of 513,444,350,318,568 is 99995704200.

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.

513 x 444 x 350 x 318 x 568 = 14399381404800

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.

513 : 1, 3, 9, 19, 27, 57, 171, 513

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

318 : 1, 2, 3, 6, 53, 106, 159, 318

568 : 1, 2, 4, 8, 71, 142, 284, 568

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,444,350,318,568, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

444:2x 2x 3x 37

350:2x 5x 5x 7

318:2x 3x 53

568:2x 2x 2x 71

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 3 = 144

Therefore, the value for common factors is 144.

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 = 14399381404800/(1x144)

LCM = 14399381404800/144

LCM = 99995704200

Thus, we can understand that the LCM of 513,444,350,318,568 is 99995704200.

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

• LCM of 819, 313, 837, 353, 192
• LCM of 767, 961, 910, 772, 747
• LCM of 320, 210, 162, 563, 742
• LCM of 528, 266, 713, 615, 845
• LCM of 929, 551, 492, 141, 923

1. What is the LCM of 513, 444, 350, 318, 568?

Answer: LCM of 513, 444, 350, 318, 568 is 99995704200.

2. How to calculate the LCM of 513, 444, 350, 318, 568?

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 513, 444, 350, 318, 568.

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}.