Given numbers are 806,724,138,199,364

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

The LCM of 806,724,138,199,364 is 28044249324.

Find LCM of 806,724,138,199,364 with Prime Factorization

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

2 x 2 x 13 x 31 x 181 x 69 x 199 x 7 = 28044249324

Therefore, the lowest common multiple of 806,724,138,199,364 is 28044249324.

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.

806 x 724 x 138 x 199 x 364 = 5833203859392

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.

806 : 1, 2, 13, 26, 31, 62, 403, 806

724 : 1, 2, 4, 181, 362, 724

138 : 1, 2, 3, 6, 23, 46, 69, 138

199 : 1, 199

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 806,724,138,199,364, is 1.

Now, the common factors can be found like this.

806:2x 13x 31

724:2x 2x 181

138:2x 3x 23

199:199

364:2x 2x 7x 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 13 = 208

Therefore, the value for common factors is 208.

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 = 5833203859392/(1x208)

LCM = 5833203859392/208

LCM = 28044249324

Thus, we can understand that the LCM of 806,724,138,199,364 is 28044249324.

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

• LCM of 833, 229, 202, 559, 403
• LCM of 261, 413, 897, 402, 947
• LCM of 158, 641, 424, 121, 405
• LCM of 279, 868, 155, 946, 569
• LCM of 648, 685, 797, 665, 345

1. What is the LCM of 806, 724, 138, 199, 364?

Answer: LCM of 806, 724, 138, 199, 364 is 28044249324.

2. How to calculate the LCM of 806, 724, 138, 199, 364?

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 806, 724, 138, 199, 364.

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}.