Given numbers are 422,970,780,825,270

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

The LCM of 422,970,780,825,270 is 7902308700.

Find LCM of 422,970,780,825,270 with Prime Factorization

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

2 x 3 x 5 x 211 x 97 x 26 x 55 x 9 = 7902308700

Therefore, the lowest common multiple of 422,970,780,825,270 is 7902308700.

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.

422 x 970 x 780 x 825 x 270 = 71120778300000

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.

422 : 1, 2, 211, 422

970 : 1, 2, 5, 10, 97, 194, 485, 970

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

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,970,780,825,270, is 1.

Now, the common factors can be found like this.

422:2x 211

970:2x 5x 97

780:2x 2x 3x 5x 13

825:3x 5x 5x 11

270:2x 3x 3x 3x 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 5x 5x 5 = 9000

Therefore, the value for common factors is 9000.

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 = 71120778300000/(1x9000)

LCM = 71120778300000/9000

LCM = 7902308700

Thus, we can understand that the LCM of 422,970,780,825,270 is 7902308700.

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

• LCM of 622, 432, 703, 686, 683
• LCM of 364, 860, 537, 304, 860
• LCM of 612, 992, 811, 424, 180
• LCM of 567, 650, 894, 985, 973
• LCM of 286, 819, 232, 726, 564

1. What is the LCM of 422, 970, 780, 825, 270?

Answer: LCM of 422, 970, 780, 825, 270 is 7902308700.

2. How to calculate the LCM of 422, 970, 780, 825, 270?

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 422, 970, 780, 825, 270.

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}.