Given numbers are 130,540,316,772,817

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

The LCM of 130,540,316,772,817 is 87446728980.

Find LCM of 130,540,316,772,817 with Prime Factorization

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

2 x 2 x 5 x 13 x 27 x 79 x 193 x 817 = 87446728980

Therefore, the lowest common multiple of 130,540,316,772,817 is 87446728980.

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.

130 x 540 x 316 x 772 x 817 = 13991476636800

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.

130 : 1, 2, 5, 10, 13, 26, 65, 130

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

316 : 1, 2, 4, 79, 158, 316

772 : 1, 2, 4, 193, 386, 772

817 : 1, 19, 43, 817

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 130,540,316,772,817, is 1.

Now, the common factors can be found like this.

130:2x 5x 13

540:2x 2x 3x 3x 3x 5

316:2x 2x 79

772:2x 2x 193

817:19x 43

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 2x 5 = 160

Therefore, the value for common factors is 160.

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 = 13991476636800/(1x160)

LCM = 13991476636800/160

LCM = 87446728980

Thus, we can understand that the LCM of 130,540,316,772,817 is 87446728980.

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

• LCM of 206, 156, 345, 707, 499
• LCM of 769, 457, 998, 566, 769
• LCM of 577, 323, 832, 659, 957
• LCM of 601, 386, 790, 691, 141
• LCM of 280, 968, 514, 717, 964

1. What is the LCM of 130, 540, 316, 772, 817?

Answer: LCM of 130, 540, 316, 772, 817 is 87446728980.

2. How to calculate the LCM of 130, 540, 316, 772, 817?

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 130, 540, 316, 772, 817.

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}.