Given numbers are 506,736,784,540

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

The LCM of 506,736,784,540 is 53555040.

Find LCM of 506,736,784,540 with Prime Factorization

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

2 x 2 x 2 x 2 x 23 x 11 x 2 x 49 x 135 = 53555040

Therefore, the lowest common multiple of 506,736,784,540 is 53555040.

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.

506 x 736 x 784 x 540 = 157666037760

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.

506 : 1, 2, 11, 22, 23, 46, 253, 506

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,736,784,540, is 2.

Now, the common factors can be found like this.

506:2x 11x 23

736:2x 2x 2x 2x 2x 23

784:2x 2x 2x 2x 7x 7

540:2x 2x 3x 3x 3x 5

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 23 = 1472

Therefore, the value for common factors is 1472.

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 = 157666037760/(2x1472)

LCM = 157666037760/2944

LCM = 53555040

Thus, we can understand that the LCM of 506,736,784,540 is 53555040.

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

• LCM of 912, 335, 869, 208
• LCM of 903, 608, 776, 657
• LCM of 447, 915, 710, 376
• LCM of 572, 258, 613, 531
• LCM of 788, 700, 978, 300

1. What is the LCM of 506, 736, 784, 540?

Answer: LCM of 506, 736, 784, 540 is 53555040.

2. How to calculate the LCM of 506, 736, 784, 540?

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 506, 736, 784, 540.

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}.