Given numbers are 434,310,857,214

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

The LCM of 434,310,857,214 is 198986830.

Find LCM of 434,310,857,214 with Prime Factorization

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

2 x 31 x 7 x 5 x 857 x 107 = 198986830

Therefore, the lowest common multiple of 434,310,857,214 is 198986830.

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.

434 x 310 x 857 x 214 = 24674366920

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.

434 : 1, 2, 7, 14, 31, 62, 217, 434

310 : 1, 2, 5, 10, 31, 62, 155, 310

857 : 1, 857

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 434,310,857,214, is 1.

Now, the common factors can be found like this.

434:2x 7x 31

310:2x 5x 31

857:857

214:2x 107

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 31 = 124

Therefore, the value for common factors is 124.

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 = 24674366920/(1x124)

LCM = 24674366920/124

LCM = 198986830

Thus, we can understand that the LCM of 434,310,857,214 is 198986830.

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

• LCM of 483, 211, 614, 601
• LCM of 935, 287, 443, 859
• LCM of 899, 959, 903, 816
• LCM of 439, 946, 758, 977
• LCM of 483, 482, 168, 939

1. What is the LCM of 434, 310, 857, 214?

Answer: LCM of 434, 310, 857, 214 is 198986830.

2. How to calculate the LCM of 434, 310, 857, 214?

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 434, 310, 857, 214.

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}.