Given numbers are 750,174,952,816

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

The LCM of 750,174,952,816 is 20706000.

Find LCM of 750,174,952,816 with Prime Factorization

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

2 x 2 x 2 x 3 x 17 x 125 x 29 x 7 x 2 = 20706000

Therefore, the lowest common multiple of 750,174,952,816 is 20706000.

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.

750 x 174 x 952 x 816 = 101376576000

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.

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

174 : 1, 2, 3, 6, 29, 58, 87, 174

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 750,174,952,816, is 2.

Now, the common factors can be found like this.

750:2x 3x 5x 5x 5

174:2x 3x 29

952:2x 2x 2x 7x 17

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

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 3x 3x 17 = 2448

Therefore, the value for common factors is 2448.

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 = 101376576000/(2x2448)

LCM = 101376576000/4896

LCM = 20706000

Thus, we can understand that the LCM of 750,174,952,816 is 20706000.

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

• LCM of 489, 893, 509, 490
• LCM of 550, 414, 227, 360
• LCM of 757, 927, 209, 927
• LCM of 345, 617, 185, 477
• LCM of 484, 961, 959, 200

1. What is the LCM of 750, 174, 952, 816?

Answer: LCM of 750, 174, 952, 816 is 20706000.

2. How to calculate the LCM of 750, 174, 952, 816?

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 750, 174, 952, 816.

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}.