Given numbers are 514,218,105,802

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

The LCM of 514,218,105,802 is 2358974730.

Find LCM of 514,218,105,802 with Prime Factorization

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

2 x 257 x 109 x 105 x 401 = 2358974730

Therefore, the lowest common multiple of 514,218,105,802 is 2358974730.

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.

514 x 218 x 105 x 802 = 9435898920

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.

514 : 1, 2, 257, 514

218 : 1, 2, 109, 218

105 : 1, 3, 5, 7, 15, 21, 35, 105

802 : 1, 2, 401, 802

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,218,105,802, is 1.

Now, the common factors can be found like this.

514:2x 257

218:2x 109

105:3x 5x 7

802:2x 401

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 9435898920/(1x4)

LCM = 9435898920/4

LCM = 2358974730

Thus, we can understand that the LCM of 514,218,105,802 is 2358974730.

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

• LCM of 822, 984, 550, 732
• LCM of 566, 329, 228, 524
• LCM of 325, 432, 857, 982
• LCM of 419, 777, 899, 992
• LCM of 466, 180, 828, 308

1. What is the LCM of 514, 218, 105, 802?

Answer: LCM of 514, 218, 105, 802 is 2358974730.

2. How to calculate the LCM of 514, 218, 105, 802?

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 514, 218, 105, 802.

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}.