Given numbers are 468,528,424,460,430

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

The LCM of 468,528,424,460,430 is 5396854320.

Find LCM of 468,528,424,460,430 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 39 x 22 x 53 x 23 x 43 = 5396854320

Therefore, the lowest common multiple of 468,528,424,460,430 is 5396854320.

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.

468 x 528 x 424 x 460 x 430 = 20723920588800

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

424 : 1, 2, 4, 8, 53, 106, 212, 424

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,528,424,460,430, is 2.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

528:2x 2x 2x 2x 3x 11

424:2x 2x 2x 53

460:2x 2x 5x 23

430:2x 5x 43

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 2x 2x 2x 3x 5 = 1920

Therefore, the value for common factors is 1920.

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 = 20723920588800/(2x1920)

LCM = 20723920588800/3840

LCM = 5396854320

Thus, we can understand that the LCM of 468,528,424,460,430 is 5396854320.

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

• LCM of 481, 821, 756, 279, 241
• LCM of 222, 278, 292, 853, 655
• LCM of 851, 408, 753, 556, 689
• LCM of 614, 241, 318, 638, 728
• LCM of 192, 714, 492, 330, 515

1. What is the LCM of 468, 528, 424, 460, 430?

Answer: LCM of 468, 528, 424, 460, 430 is 5396854320.

2. How to calculate the LCM of 468, 528, 424, 460, 430?

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 468, 528, 424, 460, 430.

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}.