Given numbers are 717,648,780,434,312

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

The LCM of 717,648,780,434,312 is 2184469560.

Find LCM of 717,648,780,434,312 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 239 x 27 x 5 x 217 x 1 = 2184469560

Therefore, the lowest common multiple of 717,648,780,434,312 is 2184469560.

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.

717 x 648 x 780 x 434 x 312 = 49071924195840

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.

717 : 1, 3, 239, 717

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

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

434 : 1, 2, 7, 14, 31, 62, 217, 434

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,648,780,434,312, is 1.

Now, the common factors can be found like this.

717:3x 239

648:2x 2x 2x 3x 3x 3x 3

780:2x 2x 3x 5x 13

434:2x 7x 31

312:2x 2x 2x 3x 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 2x 2x 3x 3x 3x 13 = 22464

Therefore, the value for common factors is 22464.

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 = 49071924195840/(1x22464)

LCM = 49071924195840/22464

LCM = 2184469560

Thus, we can understand that the LCM of 717,648,780,434,312 is 2184469560.

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

• LCM of 517, 766, 390, 604, 977
• LCM of 940, 430, 199, 993, 218
• LCM of 414, 700, 580, 264, 782
• LCM of 196, 789, 210, 927, 873
• LCM of 252, 381, 246, 525, 732

1. What is the LCM of 717, 648, 780, 434, 312?

Answer: LCM of 717, 648, 780, 434, 312 is 2184469560.

2. How to calculate the LCM of 717, 648, 780, 434, 312?

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 717, 648, 780, 434, 312.

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}.