Given numbers are 385,264,194,819,552

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

The LCM of 385,264,194,819,552 is 803963160.

Find LCM of 385,264,194,819,552 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 11 x 5 x 1 x 97 x 39 x 23 = 803963160

Therefore, the lowest common multiple of 385,264,194,819,552 is 803963160.

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.

385 x 264 x 194 x 819 x 552 = 8914343518080

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.

385 : 1, 5, 7, 11, 35, 55, 77, 385

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

194 : 1, 2, 97, 194

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 385,264,194,819,552, is 1.

Now, the common factors can be found like this.

385:5x 7x 11

264:2x 2x 2x 3x 11

194:2x 97

819:3x 3x 7x 13

552:2x 2x 2x 3x 23

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 7x 11 = 11088

Therefore, the value for common factors is 11088.

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 = 8914343518080/(1x11088)

LCM = 8914343518080/11088

LCM = 803963160

Thus, we can understand that the LCM of 385,264,194,819,552 is 803963160.

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

• LCM of 596, 713, 785, 114, 833
• LCM of 492, 658, 921, 727, 621
• LCM of 506, 421, 832, 812, 450
• LCM of 210, 325, 443, 987, 125
• LCM of 144, 689, 107, 297, 899

1. What is the LCM of 385, 264, 194, 819, 552?

Answer: LCM of 385, 264, 194, 819, 552 is 803963160.

2. How to calculate the LCM of 385, 264, 194, 819, 552?

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 385, 264, 194, 819, 552.

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}.