Given numbers are 400,331,970,294,860

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

The LCM of 400,331,970,294,860 is 81179338800.

Find LCM of 400,331,970,294,860 with Prime Factorization

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

2 x 2 x 5 x 20 x 331 x 97 x 147 x 43 = 81179338800

Therefore, the lowest common multiple of 400,331,970,294,860 is 81179338800.

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.

400 x 331 x 970 x 294 x 860 = 32471735520000

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.

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

331 : 1, 331

970 : 1, 2, 5, 10, 97, 194, 485, 970

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 400,331,970,294,860, is 1.

Now, the common factors can be found like this.

400:2x 2x 2x 2x 5x 5

331:331

970:2x 5x 97

294:2x 3x 7x 7

860:2x 2x 5x 43

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 5x 5 = 400

Therefore, the value for common factors is 400.

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 = 32471735520000/(1x400)

LCM = 32471735520000/400

LCM = 81179338800

Thus, we can understand that the LCM of 400,331,970,294,860 is 81179338800.

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

• LCM of 618, 408, 870, 863, 428
• LCM of 344, 939, 258, 684, 390
• LCM of 691, 892, 984, 932, 225
• LCM of 269, 226, 929, 699, 218
• LCM of 600, 536, 467, 784, 404

1. What is the LCM of 400, 331, 970, 294, 860?

Answer: LCM of 400, 331, 970, 294, 860 is 81179338800.

2. How to calculate the LCM of 400, 331, 970, 294, 860?

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 400, 331, 970, 294, 860.

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}.