Given numbers are 914,362,858,542,560

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

The LCM of 914,362,858,542,560 is 5385293593680.

Find LCM of 914,362,858,542,560 with Prime Factorization

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

2 x 457 x 181 x 429 x 271 x 280 = 5385293593680

Therefore, the lowest common multiple of 914,362,858,542,560 is 5385293593680.

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.

914 x 362 x 858 x 542 x 560 = 86164697498880

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.

914 : 1, 2, 457, 914

362 : 1, 2, 181, 362

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

542 : 1, 2, 271, 542

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,362,858,542,560, is 2.

Now, the common factors can be found like this.

914:2x 457

362:2x 181

858:2x 3x 11x 13

542:2x 271

560:2x 2x 2x 2x 5x 7

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 2 = 8

Therefore, the value for common factors is 8.

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 = 86164697498880/(2x8)

LCM = 86164697498880/16

LCM = 5385293593680

Thus, we can understand that the LCM of 914,362,858,542,560 is 5385293593680.

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

• LCM of 799, 892, 305, 834, 587
• LCM of 700, 551, 618, 934, 902
• LCM of 421, 898, 159, 604, 566
• LCM of 251, 225, 293, 537, 112
• LCM of 640, 702, 980, 128, 977

1. What is the LCM of 914, 362, 858, 542, 560?

Answer: LCM of 914, 362, 858, 542, 560 is 5385293593680.

2. How to calculate the LCM of 914, 362, 858, 542, 560?

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 914, 362, 858, 542, 560.

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}.