Given numbers are 614,754,780,108,113

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

The LCM of 614,754,780,108,113 is 7062393780.

Find LCM of 614,754,780,108,113 with Prime Factorization

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

2 x 2 x 3 x 13 x 307 x 29 x 5 x 9 x 113 = 7062393780

Therefore, the lowest common multiple of 614,754,780,108,113 is 7062393780.

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.

614 x 754 x 780 x 108 x 113 = 4406933718720

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.

614 : 1, 2, 307, 614

754 : 1, 2, 13, 26, 29, 58, 377, 754

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

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

113 : 1, 113

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,754,780,108,113, is 1.

Now, the common factors can be found like this.

614:2x 307

754:2x 13x 29

780:2x 2x 3x 5x 13

108:2x 2x 3x 3x 3

113:113

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 13 = 624

Therefore, the value for common factors is 624.

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 = 4406933718720/(1x624)

LCM = 4406933718720/624

LCM = 7062393780

Thus, we can understand that the LCM of 614,754,780,108,113 is 7062393780.

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

• LCM of 665, 532, 551, 780, 223
• LCM of 174, 211, 685, 601, 645
• LCM of 554, 996, 895, 330, 655
• LCM of 409, 391, 384, 622, 807
• LCM of 655, 426, 919, 712, 570

1. What is the LCM of 614, 754, 780, 108, 113?

Answer: LCM of 614, 754, 780, 108, 113 is 7062393780.

2. How to calculate the LCM of 614, 754, 780, 108, 113?

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 614, 754, 780, 108, 113.

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}.