Given numbers are 807,312,354,242,198

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

The LCM of 807,312,354,242,198 is 1797485976.

Find LCM of 807,312,354,242,198 with Prime Factorization

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

2 x 3 x 11 x 269 x 52 x 59 x 11 x 3 = 1797485976

Therefore, the lowest common multiple of 807,312,354,242,198 is 1797485976.

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.

807 x 312 x 354 x 242 x 198 = 4270826678976

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.

807 : 1, 3, 269, 807

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

354 : 1, 2, 3, 6, 59, 118, 177, 354

242 : 1, 2, 11, 22, 121, 242

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 807,312,354,242,198, is 1.

Now, the common factors can be found like this.

807:3x 269

312:2x 2x 2x 3x 13

354:2x 3x 59

242:2x 11x 11

198:2x 3x 3x 11

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 3x 3x 11 = 2376

Therefore, the value for common factors is 2376.

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 = 4270826678976/(1x2376)

LCM = 4270826678976/2376

LCM = 1797485976

Thus, we can understand that the LCM of 807,312,354,242,198 is 1797485976.

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

• LCM of 351, 729, 878, 516, 475
• LCM of 376, 888, 902, 774, 395
• LCM of 561, 146, 940, 771, 382
• LCM of 424, 143, 913, 481, 118
• LCM of 244, 195, 897, 819, 685

1. What is the LCM of 807, 312, 354, 242, 198?

Answer: LCM of 807, 312, 354, 242, 198 is 1797485976.

2. How to calculate the LCM of 807, 312, 354, 242, 198?

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 807, 312, 354, 242, 198.

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}.