Given numbers are 984,518,614,442,429

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

The LCM of 984,518,614,442,429 is 190203365352.

Find LCM of 984,518,614,442,429 with Prime Factorization

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

2 x 3 x 13 x 164 x 259 x 307 x 17 x 11 = 190203365352

Therefore, the lowest common multiple of 984,518,614,442,429 is 190203365352.

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.

984 x 518 x 614 x 442 x 429 = 59343449989824

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.

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

518 : 1, 2, 7, 14, 37, 74, 259, 518

614 : 1, 2, 307, 614

442 : 1, 2, 13, 17, 26, 34, 221, 442

429 : 1, 3, 11, 13, 33, 39, 143, 429

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 984,518,614,442,429, is 1.

Now, the common factors can be found like this.

984:2x 2x 2x 3x 41

518:2x 7x 37

614:2x 307

442:2x 13x 17

429:3x 11x 13

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 3x 13 = 312

Therefore, the value for common factors is 312.

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 = 59343449989824/(1x312)

LCM = 59343449989824/312

LCM = 190203365352

Thus, we can understand that the LCM of 984,518,614,442,429 is 190203365352.

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

• LCM of 510, 743, 237, 946, 177
• LCM of 601, 518, 451, 588, 705
• LCM of 100, 539, 639, 867, 743
• LCM of 919, 375, 151, 348, 752
• LCM of 898, 501, 520, 945, 578

1. What is the LCM of 984, 518, 614, 442, 429?

Answer: LCM of 984, 518, 614, 442, 429 is 190203365352.

2. How to calculate the LCM of 984, 518, 614, 442, 429?

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 984, 518, 614, 442, 429.

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}.