Given numbers are 286,706,800,146,388

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

The LCM of 286,706,800,146,388 is 285953439200.

Find LCM of 286,706,800,146,388 with Prime Factorization

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

2 x 2 x 143 x 353 x 200 x 73 x 97 = 285953439200

Therefore, the lowest common multiple of 286,706,800,146,388 is 285953439200.

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.

286 x 706 x 800 x 146 x 388 = 9150510054400

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.

286 : 1, 2, 11, 13, 22, 26, 143, 286

706 : 1, 2, 353, 706

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

146 : 1, 2, 73, 146

388 : 1, 2, 4, 97, 194, 388

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 286,706,800,146,388, is 2.

Now, the common factors can be found like this.

286:2x 11x 13

706:2x 353

800:2x 2x 2x 2x 2x 5x 5

146:2x 73

388:2x 2x 97

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 2 = 16

Therefore, the value for common factors is 16.

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 = 9150510054400/(2x16)

LCM = 9150510054400/32

LCM = 285953439200

Thus, we can understand that the LCM of 286,706,800,146,388 is 285953439200.

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

• LCM of 871, 262, 427, 507, 935
• LCM of 365, 686, 841, 689, 723
• LCM of 535, 390, 525, 565, 941
• LCM of 196, 303, 951, 397, 656
• LCM of 622, 423, 938, 214, 684

1. What is the LCM of 286, 706, 800, 146, 388?

Answer: LCM of 286, 706, 800, 146, 388 is 285953439200.

2. How to calculate the LCM of 286, 706, 800, 146, 388?

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 286, 706, 800, 146, 388.

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}.