Given numbers are 494,757,286,890,828

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

The LCM of 494,757,286,890,828 is 757837105740.

Find LCM of 494,757,286,890,828 with Prime Factorization

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

2 x 13 x 19 x 757 x 11 x 445 x 414 = 757837105740

Therefore, the lowest common multiple of 494,757,286,890,828 is 757837105740.

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.

494 x 757 x 286 x 890 x 828 = 78815058996960

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.

494 : 1, 2, 13, 19, 26, 38, 247, 494

757 : 1, 757

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

890 : 1, 2, 5, 10, 89, 178, 445, 890

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,757,286,890,828, is 1.

Now, the common factors can be found like this.

494:2x 13x 19

757:757

286:2x 11x 13

890:2x 5x 89

828:2x 2x 3x 3x 23

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 13 = 104

Therefore, the value for common factors is 104.

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 = 78815058996960/(1x104)

LCM = 78815058996960/104

LCM = 757837105740

Thus, we can understand that the LCM of 494,757,286,890,828 is 757837105740.

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

• LCM of 569, 760, 345, 867, 985
• LCM of 201, 407, 945, 570, 456
• LCM of 647, 612, 774, 163, 813
• LCM of 257, 855, 231, 445, 430
• LCM of 590, 810, 885, 152, 860

1. What is the LCM of 494, 757, 286, 890, 828?

Answer: LCM of 494, 757, 286, 890, 828 is 757837105740.

2. How to calculate the LCM of 494, 757, 286, 890, 828?

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 494, 757, 286, 890, 828.

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}.