Given numbers are 868,600,528,916

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

The LCM of 868,600,528,916 is 655947600.

Find LCM of 868,600,528,916 with Prime Factorization

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

2 x 2 x 2 x 3 x 217 x 25 x 22 x 229 = 655947600

Therefore, the lowest common multiple of 868,600,528,916 is 655947600.

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.

868 x 600 x 528 x 916 = 251883878400

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.

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

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

916 : 1, 2, 4, 229, 458, 916

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 868,600,528,916, is 4.

Now, the common factors can be found like this.

868:2x 2x 7x 31

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

528:2x 2x 2x 2x 3x 11

916:2x 2x 229

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 3 = 96

Therefore, the value for common factors is 96.

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 = 251883878400/(4x96)

LCM = 251883878400/384

LCM = 655947600

Thus, we can understand that the LCM of 868,600,528,916 is 655947600.

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

• LCM of 488, 525, 407, 237
• LCM of 776, 733, 880, 710
• LCM of 957, 996, 555, 344
• LCM of 720, 531, 856, 403
• LCM of 885, 509, 463, 468

1. What is the LCM of 868, 600, 528, 916?

Answer: LCM of 868, 600, 528, 916 is 655947600.

2. How to calculate the LCM of 868, 600, 528, 916?

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 868, 600, 528, 916.

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}.