Given numbers are 420,825,138,647,570

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

The LCM of 420,825,138,647,570 is 6531270900.

Find LCM of 420,825,138,647,570 with Prime Factorization

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

2 x 3 x 5 x 14 x 55 x 23 x 647 x 19 = 6531270900

Therefore, the lowest common multiple of 420,825,138,647,570 is 6531270900.

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.

420 x 825 x 138 x 647 x 570 = 17634431430000

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.

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

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

138 : 1, 2, 3, 6, 23, 46, 69, 138

647 : 1, 647

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,825,138,647,570, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

825:3x 5x 5x 11

138:2x 3x 23

647:647

570:2x 3x 5x 19

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 3x 5x 5 = 2700

Therefore, the value for common factors is 2700.

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 = 17634431430000/(1x2700)

LCM = 17634431430000/2700

LCM = 6531270900

Thus, we can understand that the LCM of 420,825,138,647,570 is 6531270900.

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

• LCM of 199, 594, 569, 957, 258
• LCM of 956, 727, 385, 889, 626
• LCM of 867, 168, 579, 584, 394
• LCM of 978, 312, 856, 500, 225
• LCM of 211, 625, 469, 723, 754

1. What is the LCM of 420, 825, 138, 647, 570?

Answer: LCM of 420, 825, 138, 647, 570 is 6531270900.

2. How to calculate the LCM of 420, 825, 138, 647, 570?

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 420, 825, 138, 647, 570.

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}.