Given numbers are 460,559,390,364

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

The LCM of 460,559,390,364 is 5399940.

Find LCM of 460,559,390,364 with Prime Factorization

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

2 x 2 x 5 x 13 x 23 x 43 x 3 x 7 = 5399940

Therefore, the lowest common multiple of 460,559,390,364 is 5399940.

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 559 x 390 x 364 = 36503594400

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

559 : 1, 13, 43, 559

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,559,390,364, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

559:13x 43

390:2x 3x 5x 13

364:2x 2x 7x 13

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 5x 13x 13 = 6760

Therefore, the value for common factors is 6760.

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 = 36503594400/(1x6760)

LCM = 36503594400/6760

LCM = 5399940

Thus, we can understand that the LCM of 460,559,390,364 is 5399940.

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

• LCM of 295, 529, 647, 843
• LCM of 270, 279, 572, 158
• LCM of 693, 681, 375, 543
• LCM of 529, 431, 540, 819
• LCM of 872, 809, 522, 213

1. What is the LCM of 460, 559, 390, 364?

Answer: LCM of 460, 559, 390, 364 is 5399940.

2. How to calculate the LCM of 460, 559, 390, 364?

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, 559, 390, 364.

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}.