Given numbers are 870,609,128,750

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

The LCM of 870,609,128,750 is 9744000.

Find LCM of 870,609,128,750 with Prime Factorization

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

2 x 3 x 5 x 29 x 1 x 7 x 64 x 25 = 9744000

Therefore, the lowest common multiple of 870,609,128,750 is 9744000.

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.

870 x 609 x 128 x 750 = 50863680000

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.

870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

609 : 1, 3, 7, 21, 29, 87, 203, 609

128 : 1, 2, 4, 8, 16, 32, 64, 128

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 870,609,128,750, is 1.

Now, the common factors can be found like this.

870:2x 3x 5x 29

609:3x 7x 29

128:2x 2x 2x 2x 2x 2x 2

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 3x 3x 5x 29 = 5220

Therefore, the value for common factors is 5220.

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 = 50863680000/(1x5220)

LCM = 50863680000/5220

LCM = 9744000

Thus, we can understand that the LCM of 870,609,128,750 is 9744000.

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

• LCM of 565, 145, 264, 537
• LCM of 927, 784, 423, 267
• LCM of 722, 660, 481, 633
• LCM of 939, 916, 408, 354
• LCM of 630, 722, 524, 419

1. What is the LCM of 870, 609, 128, 750?

Answer: LCM of 870, 609, 128, 750 is 9744000.

2. How to calculate the LCM of 870, 609, 128, 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 870, 609, 128, 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}.