Given numbers are 870,265,406,780

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

The LCM of 870,265,406,780 is 8392020.

Find LCM of 870,265,406,780 with Prime Factorization

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

2 x 3 x 5 x 29 x 1 x 53 x 7 x 26 = 8392020

Therefore, the lowest common multiple of 870,265,406,780 is 8392020.

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 265 x 406 x 780 = 73010574000

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

265 : 1, 5, 53, 265

406 : 1, 2, 7, 14, 29, 58, 203, 406

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 870,265,406,780, is 1.

Now, the common factors can be found like this.

870:2x 3x 5x 29

265:5x 53

406:2x 7x 29

780:2x 2x 3x 5x 13

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 5x 5x 29 = 8700

Therefore, the value for common factors is 8700.

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 = 73010574000/(1x8700)

LCM = 73010574000/8700

LCM = 8392020

Thus, we can understand that the LCM of 870,265,406,780 is 8392020.

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

• LCM of 538, 332, 784, 592
• LCM of 276, 720, 883, 487
• LCM of 681, 638, 345, 966
• LCM of 293, 922, 470, 732
• LCM of 668, 790, 554, 873

1. What is the LCM of 870, 265, 406, 780?

Answer: LCM of 870, 265, 406, 780 is 8392020.

2. How to calculate the LCM of 870, 265, 406, 780?

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, 265, 406, 780.

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}.