Given numbers are 430,800,914,434,740

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

The LCM of 430,800,914,434,740 is 126222303200.

Find LCM of 430,800,914,434,740 with Prime Factorization

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

2 x 2 x 5 x 43 x 40 x 457 x 217 x 37 = 126222303200

Therefore, the lowest common multiple of 430,800,914,434,740 is 126222303200.

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.

430 x 800 x 914 x 434 x 740 = 100977842560000

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.

430 : 1, 2, 5, 10, 43, 86, 215, 430

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

914 : 1, 2, 457, 914

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

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 430,800,914,434,740, is 2.

Now, the common factors can be found like this.

430:2x 5x 43

800:2x 2x 2x 2x 2x 5x 5

914:2x 457

434:2x 7x 31

740:2x 2x 5x 37

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 2x 5x 5 = 400

Therefore, the value for common factors is 400.

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 = 100977842560000/(2x400)

LCM = 100977842560000/800

LCM = 126222303200

Thus, we can understand that the LCM of 430,800,914,434,740 is 126222303200.

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

• LCM of 452, 699, 287, 978, 876
• LCM of 525, 651, 356, 962, 492
• LCM of 592, 587, 612, 147, 849
• LCM of 104, 999, 613, 816, 670
• LCM of 813, 278, 351, 632, 449

1. What is the LCM of 430, 800, 914, 434, 740?

Answer: LCM of 430, 800, 914, 434, 740 is 126222303200.

2. How to calculate the LCM of 430, 800, 914, 434, 740?

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 430, 800, 914, 434, 740.

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}.