Given numbers are 614,381,903,780,764

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

The LCM of 614,381,903,780,764 is 1748382947220.

Find LCM of 614,381,903,780,764 with Prime Factorization

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

2 x 2 x 3 x 307 x 127 x 301 x 65 x 191 = 1748382947220

Therefore, the lowest common multiple of 614,381,903,780,764 is 1748382947220.

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 381 x 903 x 780 x 764 = 125883572199840

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

381 : 1, 3, 127, 381

903 : 1, 3, 7, 21, 43, 129, 301, 903

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

764 : 1, 2, 4, 191, 382, 764

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,381,903,780,764, is 1.

Now, the common factors can be found like this.

614:2x 307

381:3x 127

903:3x 7x 43

780:2x 2x 3x 5x 13

764:2x 2x 191

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 3 = 72

Therefore, the value for common factors is 72.

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 = 125883572199840/(1x72)

LCM = 125883572199840/72

LCM = 1748382947220

Thus, we can understand that the LCM of 614,381,903,780,764 is 1748382947220.

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

• LCM of 709, 532, 725, 591, 832
• LCM of 139, 868, 287, 981, 978
• LCM of 376, 520, 683, 743, 447
• LCM of 528, 426, 550, 118, 924
• LCM of 574, 559, 724, 906, 236

1. What is the LCM of 614, 381, 903, 780, 764?

Answer: LCM of 614, 381, 903, 780, 764 is 1748382947220.

2. How to calculate the LCM of 614, 381, 903, 780, 764?

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, 381, 903, 780, 764.

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}.