Given numbers are 802,476,406,312,683

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

The LCM of 802,476,406,312,683 is 294893112696.

Find LCM of 802,476,406,312,683 with Prime Factorization

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

2 x 2 x 7 x 401 x 17 x 29 x 78 x 683 = 294893112696

Therefore, the lowest common multiple of 802,476,406,312,683 is 294893112696.

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.

802 x 476 x 406 x 312 x 683 = 33028028621952

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.

802 : 1, 2, 401, 802

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

406 : 1, 2, 7, 14, 29, 58, 203, 406

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

683 : 1, 683

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 802,476,406,312,683, is 1.

Now, the common factors can be found like this.

802:2x 401

476:2x 2x 7x 17

406:2x 7x 29

312:2x 2x 2x 3x 13

683:683

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 7 = 112

Therefore, the value for common factors is 112.

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 = 33028028621952/(1x112)

LCM = 33028028621952/112

LCM = 294893112696

Thus, we can understand that the LCM of 802,476,406,312,683 is 294893112696.

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

• LCM of 149, 476, 227, 397, 288
• LCM of 637, 816, 738, 770, 934
• LCM of 602, 133, 168, 111, 369
• LCM of 863, 425, 160, 808, 380
• LCM of 890, 536, 269, 542, 738

1. What is the LCM of 802, 476, 406, 312, 683?

Answer: LCM of 802, 476, 406, 312, 683 is 294893112696.

2. How to calculate the LCM of 802, 476, 406, 312, 683?

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 802, 476, 406, 312, 683.

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}.