Given numbers are 394,486,617,564,780

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

The LCM of 394,486,617,564,780 is 360934893540.

Find LCM of 394,486,617,564,780 with Prime Factorization

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

2 x 2 x 3 x 197 x 81 x 617 x 47 x 65 = 360934893540

Therefore, the lowest common multiple of 394,486,617,564,780 is 360934893540.

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.

394 x 486 x 617 x 564 x 780 = 51974624669760

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.

394 : 1, 2, 197, 394

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

617 : 1, 617

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

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 394,486,617,564,780, is 1.

Now, the common factors can be found like this.

394:2x 197

486:2x 3x 3x 3x 3x 3

617:617

564:2x 2x 3x 47

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 2x 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 51974624669760/(1x144)

LCM = 51974624669760/144

LCM = 360934893540

Thus, we can understand that the LCM of 394,486,617,564,780 is 360934893540.

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

• LCM of 572, 808, 576, 600, 500
• LCM of 717, 515, 830, 951, 782
• LCM of 747, 682, 648, 295, 798
• LCM of 589, 466, 492, 887, 747
• LCM of 978, 988, 385, 193, 209

1. What is the LCM of 394, 486, 617, 564, 780?

Answer: LCM of 394, 486, 617, 564, 780 is 360934893540.

2. How to calculate the LCM of 394, 486, 617, 564, 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 394, 486, 617, 564, 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}.