Given numbers are 682,216,357,845,323

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

The LCM of 682,216,357,845,323 is 140723102520.

Find LCM of 682,216,357,845,323 with Prime Factorization

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

2 x 3 x 17 x 341 x 36 x 7 x 845 x 19 = 140723102520

Therefore, the lowest common multiple of 682,216,357,845,323 is 140723102520.

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.

682 x 216 x 357 x 845 x 323 = 14353756457040

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.

682 : 1, 2, 11, 22, 31, 62, 341, 682

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

357 : 1, 3, 7, 17, 21, 51, 119, 357

845 : 1, 5, 13, 65, 169, 845

323 : 1, 17, 19, 323

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,216,357,845,323, is 1.

Now, the common factors can be found like this.

682:2x 11x 31

216:2x 2x 2x 3x 3x 3

357:3x 7x 17

845:5x 13x 13

323:17x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 17 = 102

Therefore, the value for common factors is 102.

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 = 14353756457040/(1x102)

LCM = 14353756457040/102

LCM = 140723102520

Thus, we can understand that the LCM of 682,216,357,845,323 is 140723102520.

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

• LCM of 494, 379, 547, 409, 981
• LCM of 940, 570, 286, 829, 370
• LCM of 587, 676, 211, 183, 735
• LCM of 552, 777, 173, 521, 904
• LCM of 728, 853, 399, 586, 101

1. What is the LCM of 682, 216, 357, 845, 323?

Answer: LCM of 682, 216, 357, 845, 323 is 140723102520.

2. How to calculate the LCM of 682, 216, 357, 845, 323?

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 682, 216, 357, 845, 323.

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}.