Given numbers are 816,876,219,750

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

The LCM of 816,876,219,750 is 7446000.

Find LCM of 816,876,219,750 with Prime Factorization

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

2 x 2 x 3 x 73 x 68 x 1 x 1 x 125 = 7446000

Therefore, the lowest common multiple of 816,876,219,750 is 7446000.

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.

816 x 876 x 219 x 750 = 117408528000

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.

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

219 : 1, 3, 73, 219

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,876,219,750, is 3.

Now, the common factors can be found like this.

816:2x 2x 2x 2x 3x 17

876:2x 2x 3x 73

219:3x 73

750:2x 3x 5x 5x 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 3x 3x 73 = 5256

Therefore, the value for common factors is 5256.

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 = 117408528000/(3x5256)

LCM = 117408528000/15768

LCM = 7446000

Thus, we can understand that the LCM of 816,876,219,750 is 7446000.

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

• LCM of 593, 916, 393, 936
• LCM of 128, 308, 534, 905
• LCM of 676, 420, 174, 453
• LCM of 358, 947, 145, 646
• LCM of 685, 195, 170, 578

1. What is the LCM of 816, 876, 219, 750?

Answer: LCM of 816, 876, 219, 750 is 7446000.

2. How to calculate the LCM of 816, 876, 219, 750?

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 816, 876, 219, 750.

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}.