Given numbers are 464,638,430,406

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

The LCM of 464,638,430,406 is 7681520.

Find LCM of 464,638,430,406 with Prime Factorization

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

2 x 29 x 8 x 11 x 215 x 7 = 7681520

Therefore, the lowest common multiple of 464,638,430,406 is 7681520.

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.

464 x 638 x 430 x 406 = 51681266560

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.

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

638 : 1, 2, 11, 22, 29, 58, 319, 638

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

406 : 1, 2, 7, 14, 29, 58, 203, 406

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,638,430,406, is 2.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

638:2x 11x 29

430:2x 5x 43

406:2x 7x 29

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 29x 29 = 3364

Therefore, the value for common factors is 3364.

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 = 51681266560/(2x3364)

LCM = 51681266560/6728

LCM = 7681520

Thus, we can understand that the LCM of 464,638,430,406 is 7681520.

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

• LCM of 541, 816, 303, 478
• LCM of 997, 446, 291, 522
• LCM of 738, 239, 499, 209
• LCM of 652, 294, 949, 235
• LCM of 114, 676, 883, 929

1. What is the LCM of 464, 638, 430, 406?

Answer: LCM of 464, 638, 430, 406 is 7681520.

2. How to calculate the LCM of 464, 638, 430, 406?

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 464, 638, 430, 406.

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}.