Given numbers are 864,380,343,370,803

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

The LCM of 864,380,343,370,803 is 836466855840.

Find LCM of 864,380,343,370,803 with Prime Factorization

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

2 x 2 x 5 x 216 x 19 x 343 x 37 x 803 = 836466855840

Therefore, the lowest common multiple of 864,380,343,370,803 is 836466855840.

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.

864 x 380 x 343 x 370 x 803 = 33458674233600

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.

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

343 : 1, 7, 49, 343

370 : 1, 2, 5, 10, 37, 74, 185, 370

803 : 1, 11, 73, 803

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,380,343,370,803, is 1.

Now, the common factors can be found like this.

864:2x 2x 2x 2x 2x 3x 3x 3

380:2x 2x 5x 19

343:7x 7x 7

370:2x 5x 37

803:11x 73

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 5 = 40

Therefore, the value for common factors is 40.

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 = 33458674233600/(1x40)

LCM = 33458674233600/40

LCM = 836466855840

Thus, we can understand that the LCM of 864,380,343,370,803 is 836466855840.

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

• LCM of 776, 673, 975, 349, 996
• LCM of 487, 345, 755, 872, 562
• LCM of 810, 791, 777, 302, 345
• LCM of 140, 778, 245, 404, 463
• LCM of 801, 674, 786, 139, 392

1. What is the LCM of 864, 380, 343, 370, 803?

Answer: LCM of 864, 380, 343, 370, 803 is 836466855840.

2. How to calculate the LCM of 864, 380, 343, 370, 803?

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 864, 380, 343, 370, 803.

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}.