Given numbers are 522,174,616,744,395

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

The LCM of 522,174,616,744,395 is 1968702120.

Find LCM of 522,174,616,744,395 with Prime Factorization

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

2 x 2 x 2 x 3 x 29 x 1 x 3 x 77 x 31 x 395 = 1968702120

Therefore, the lowest common multiple of 522,174,616,744,395 is 1968702120.

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.

522 x 174 x 616 x 744 x 395 = 16442600106240

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.

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

174 : 1, 2, 3, 6, 29, 58, 87, 174

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

395 : 1, 5, 79, 395

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 522,174,616,744,395, is 1.

Now, the common factors can be found like this.

522:2x 3x 3x 29

174:2x 3x 29

616:2x 2x 2x 7x 11

744:2x 2x 2x 3x 31

395:5x 79

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 3x 3x 29 = 8352

Therefore, the value for common factors is 8352.

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 = 16442600106240/(1x8352)

LCM = 16442600106240/8352

LCM = 1968702120

Thus, we can understand that the LCM of 522,174,616,744,395 is 1968702120.

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

• LCM of 647, 206, 248, 630, 558
• LCM of 597, 711, 271, 459, 270
• LCM of 233, 103, 723, 139, 280
• LCM of 903, 250, 287, 185, 945
• LCM of 693, 835, 240, 280, 752

1. What is the LCM of 522, 174, 616, 744, 395?

Answer: LCM of 522, 174, 616, 744, 395 is 1968702120.

2. How to calculate the LCM of 522, 174, 616, 744, 395?

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 522, 174, 616, 744, 395.

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}.