Given numbers are 686,442,616,398,350

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

The LCM of 686,442,616,398,350 is 33186553400.

Find LCM of 686,442,616,398,350 with Prime Factorization

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

2 x 7 x 49 x 221 x 44 x 199 x 25 = 33186553400

Therefore, the lowest common multiple of 686,442,616,398,350 is 33186553400.

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.

686 x 442 x 616 x 398 x 350 = 26018257865600

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.

686 : 1, 2, 7, 14, 49, 98, 343, 686

442 : 1, 2, 13, 17, 26, 34, 221, 442

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

398 : 1, 2, 199, 398

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 686,442,616,398,350, is 2.

Now, the common factors can be found like this.

686:2x 7x 7x 7

442:2x 13x 17

616:2x 2x 2x 7x 11

398:2x 199

350:2x 5x 5x 7

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 7x 7 = 392

Therefore, the value for common factors is 392.

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 = 26018257865600/(2x392)

LCM = 26018257865600/784

LCM = 33186553400

Thus, we can understand that the LCM of 686,442,616,398,350 is 33186553400.

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

• LCM of 106, 187, 732, 501, 549
• LCM of 304, 785, 739, 256, 806
• LCM of 912, 945, 751, 235, 704
• LCM of 208, 875, 837, 909, 961
• LCM of 739, 182, 322, 654, 797

1. What is the LCM of 686, 442, 616, 398, 350?

Answer: LCM of 686, 442, 616, 398, 350 is 33186553400.

2. How to calculate the LCM of 686, 442, 616, 398, 350?

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 686, 442, 616, 398, 350.

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}.