Given numbers are 506,414,651,920,129

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

The LCM of 506,414,651,920,129 is 849867480.

Find LCM of 506,414,651,920,129 with Prime Factorization

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

2 x 3 x 23 x 11 x 3 x 217 x 20 x 43 = 849867480

Therefore, the lowest common multiple of 506,414,651,920,129 is 849867480.

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 414 x 651 x 920 x 129 = 16184876289120

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

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

651 : 1, 3, 7, 21, 31, 93, 217, 651

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

129 : 1, 3, 43, 129

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,414,651,920,129, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

414:2x 3x 3x 23

651:3x 7x 31

920:2x 2x 2x 5x 23

129:3x 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 3x 3x 23x 23 = 19044

Therefore, the value for common factors is 19044.

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 = 16184876289120/(1x19044)

LCM = 16184876289120/19044

LCM = 849867480

Thus, we can understand that the LCM of 506,414,651,920,129 is 849867480.

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

• LCM of 271, 468, 633, 543, 662
• LCM of 391, 516, 778, 983, 297
• LCM of 904, 441, 996, 629, 560
• LCM of 337, 417, 718, 613, 372
• LCM of 261, 284, 323, 555, 664

1. What is the LCM of 506, 414, 651, 920, 129?

Answer: LCM of 506, 414, 651, 920, 129 is 849867480.

2. How to calculate the LCM of 506, 414, 651, 920, 129?

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, 414, 651, 920, 129.

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}.