Given numbers are 506,840,480,440

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

The LCM of 506,840,480,440 is 850080.

Find LCM of 506,840,480,440 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 11 x 23 x 7 x 4 x 1 = 850080

Therefore, the lowest common multiple of 506,840,480,440 is 850080.

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 840 x 480 x 440 = 89768448000

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

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,840,480,440, is 2.

Now, the common factors can be found like this.

506:2x 11x 23

840:2x 2x 2x 3x 5x 7

480:2x 2x 2x 2x 2x 3x 5

440:2x 2x 2x 5x 11

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 3x 5x 5x 11 = 52800

Therefore, the value for common factors is 52800.

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 = 89768448000/(2x52800)

LCM = 89768448000/105600

LCM = 850080

Thus, we can understand that the LCM of 506,840,480,440 is 850080.

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

• LCM of 946, 768, 783, 544
• LCM of 402, 975, 191, 330
• LCM of 397, 842, 247, 573
• LCM of 711, 654, 320, 641
• LCM of 667, 368, 339, 476

1. What is the LCM of 506, 840, 480, 440?

Answer: LCM of 506, 840, 480, 440 is 850080.

2. How to calculate the LCM of 506, 840, 480, 440?

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, 840, 480, 440.

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}.