Given numbers are 803,462,856,828,349

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

The LCM of 803,462,856,828,349 is 347602684968.

Find LCM of 803,462,856,828,349 with Prime Factorization

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

2 x 2 x 3 x 11 x 73 x 7 x 214 x 69 x 349 = 347602684968

Therefore, the lowest common multiple of 803,462,856,828,349 is 347602684968.

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.

803 x 462 x 856 x 828 x 349 = 91767108831552

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.

803 : 1, 11, 73, 803

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

856 : 1, 2, 4, 8, 107, 214, 428, 856

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

349 : 1, 349

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 803,462,856,828,349, is 1.

Now, the common factors can be found like this.

803:11x 73

462:2x 3x 7x 11

856:2x 2x 2x 107

828:2x 2x 3x 3x 23

349:349

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 3x 11 = 264

Therefore, the value for common factors is 264.

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 = 91767108831552/(1x264)

LCM = 91767108831552/264

LCM = 347602684968

Thus, we can understand that the LCM of 803,462,856,828,349 is 347602684968.

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

• LCM of 391, 698, 133, 990, 109
• LCM of 927, 252, 626, 256, 336
• LCM of 280, 824, 164, 166, 297
• LCM of 707, 856, 560, 550, 636
• LCM of 497, 452, 773, 161, 995

1. What is the LCM of 803, 462, 856, 828, 349?

Answer: LCM of 803, 462, 856, 828, 349 is 347602684968.

2. How to calculate the LCM of 803, 462, 856, 828, 349?

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 803, 462, 856, 828, 349.

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}.