Given numbers are 505,920,540,437,868

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

The LCM of 505,920,540,437,868 is 10343947320.

Find LCM of 505,920,540,437,868 with Prime Factorization

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

2 x 2 x 5 x 23 x 101 x 2 x 27 x 19 x 217 = 10343947320

Therefore, the lowest common multiple of 505,920,540,437,868 is 10343947320.

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.

505 x 920 x 540 x 437 x 868 = 95164315344000

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.

505 : 1, 5, 101, 505

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

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

437 : 1, 19, 23, 437

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,920,540,437,868, is 1.

Now, the common factors can be found like this.

505:5x 101

920:2x 2x 2x 5x 23

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

437:19x 23

868:2x 2x 7x 31

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 5x 5x 23 = 9200

Therefore, the value for common factors is 9200.

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 = 95164315344000/(1x9200)

LCM = 95164315344000/9200

LCM = 10343947320

Thus, we can understand that the LCM of 505,920,540,437,868 is 10343947320.

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

• LCM of 435, 740, 100, 931, 776
• LCM of 406, 409, 176, 687, 786
• LCM of 358, 249, 529, 386, 213
• LCM of 353, 627, 830, 225, 455
• LCM of 342, 679, 921, 800, 456

1. What is the LCM of 505, 920, 540, 437, 868?

Answer: LCM of 505, 920, 540, 437, 868 is 10343947320.

2. How to calculate the LCM of 505, 920, 540, 437, 868?

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 505, 920, 540, 437, 868.

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}.