Given numbers are 430,690,860,928,391

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

The LCM of 430,690,860,928,391 is 234036960.

Find LCM of 430,690,860,928,391 with Prime Factorization

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

2 x 2 x 5 x 23 x 43 x 1 x 3 x 1 x 232 x 17 = 234036960

Therefore, the lowest common multiple of 430,690,860,928,391 is 234036960.

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 690 x 860 x 928 x 391 = 92585021376000

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

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

391 : 1, 17, 23, 391

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 430,690,860,928,391, is 1.

Now, the common factors can be found like this.

430:2x 5x 43

690:2x 3x 5x 23

860:2x 2x 5x 43

928:2x 2x 2x 2x 2x 29

391:17x 23

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 5x 23x 43 = 395600

Therefore, the value for common factors is 395600.

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 = 92585021376000/(1x395600)

LCM = 92585021376000/395600

LCM = 234036960

Thus, we can understand that the LCM of 430,690,860,928,391 is 234036960.

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

• LCM of 811, 178, 990, 359, 988
• LCM of 577, 924, 487, 972, 684
• LCM of 518, 725, 894, 752, 846
• LCM of 983, 747, 813, 654, 648
• LCM of 644, 921, 988, 957, 705

1. What is the LCM of 430, 690, 860, 928, 391?

Answer: LCM of 430, 690, 860, 928, 391 is 234036960.

2. How to calculate the LCM of 430, 690, 860, 928, 391?

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, 690, 860, 928, 391.

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}.