Given numbers are 506,868,600,201,396

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

The LCM of 506,868,600,201,396 is 6621060600.

Find LCM of 506,868,600,201,396 with Prime Factorization

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

2 x 2 x 3 x 11 x 23 x 217 x 50 x 67 x 3 = 6621060600

Therefore, the lowest common multiple of 506,868,600,201,396 is 6621060600.

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 868 x 600 x 201 x 396 = 20975519980800

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

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

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

201 : 1, 3, 67, 201

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,868,600,201,396, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

868:2x 2x 7x 31

600:2x 2x 2x 3x 5x 5

201:3x 67

396:2x 2x 3x 3x 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 3x 3x 11 = 3168

Therefore, the value for common factors is 3168.

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 = 20975519980800/(1x3168)

LCM = 20975519980800/3168

LCM = 6621060600

Thus, we can understand that the LCM of 506,868,600,201,396 is 6621060600.

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

• LCM of 777, 472, 107, 953, 504
• LCM of 512, 585, 364, 205, 372
• LCM of 364, 831, 780, 451, 471
• LCM of 749, 537, 993, 591, 350
• LCM of 397, 675, 169, 412, 618

1. What is the LCM of 506, 868, 600, 201, 396?

Answer: LCM of 506, 868, 600, 201, 396 is 6621060600.

2. How to calculate the LCM of 506, 868, 600, 201, 396?

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, 868, 600, 201, 396.

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}.