Given numbers are 506,194,798,432,109

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

The LCM of 506,194,798,432,109 is 153693018864.

Find LCM of 506,194,798,432,109 with Prime Factorization

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

2 x 3 x 253 x 97 x 133 x 72 x 109 = 153693018864

Therefore, the lowest common multiple of 506,194,798,432,109 is 153693018864.

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.

506 x 194 x 798 x 432 x 109 = 3688632452736

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.

506 : 1, 2, 11, 22, 23, 46, 253, 506

194 : 1, 2, 97, 194

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

109 : 1, 109

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,194,798,432,109, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

194:2x 97

798:2x 3x 7x 19

432:2x 2x 2x 2x 3x 3x 3

109:109

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 3 = 24

Therefore, the value for common factors is 24.

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 = 3688632452736/(1x24)

LCM = 3688632452736/24

LCM = 153693018864

Thus, we can understand that the LCM of 506,194,798,432,109 is 153693018864.

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

• LCM of 111, 908, 355, 150, 160
• LCM of 193, 799, 873, 983, 144
• LCM of 120, 853, 671, 603, 297
• LCM of 367, 975, 362, 627, 287
• LCM of 289, 196, 347, 352, 445

1. What is the LCM of 506, 194, 798, 432, 109?

Answer: LCM of 506, 194, 798, 432, 109 is 153693018864.

2. How to calculate the LCM of 506, 194, 798, 432, 109?

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 506, 194, 798, 432, 109.

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}.