Given numbers are 460,478,782,430

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

The LCM of 460,478,782,430 is 80366140.

Find LCM of 460,478,782,430 with Prime Factorization

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

2 x 5 x 23 x 2 x 239 x 17 x 43 = 80366140

Therefore, the lowest common multiple of 460,478,782,430 is 80366140.

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.

460 x 478 x 782 x 430 = 73936848800

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.

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

478 : 1, 2, 239, 478

782 : 1, 2, 17, 23, 34, 46, 391, 782

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 460,478,782,430, is 2.

Now, the common factors can be found like this.

460:2x 2x 5x 23

478:2x 239

782:2x 17x 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 5x 23 = 460

Therefore, the value for common factors is 460.

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 = 73936848800/(2x460)

LCM = 73936848800/920

LCM = 80366140

Thus, we can understand that the LCM of 460,478,782,430 is 80366140.

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

• LCM of 989, 767, 593, 824
• LCM of 472, 898, 833, 808
• LCM of 947, 109, 798, 917
• LCM of 404, 694, 331, 605
• LCM of 869, 179, 364, 242

1. What is the LCM of 460, 478, 782, 430?

Answer: LCM of 460, 478, 782, 430 is 80366140.

2. How to calculate the LCM of 460, 478, 782, 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 460, 478, 782, 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}.