Given numbers are 893,679,414,660,198

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

The LCM of 893,679,414,660,198 is 27613042380.

Find LCM of 893,679,414,660,198 with Prime Factorization

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

2 x 3 x 3 x 11 x 893 x 679 x 23 x 10 x 1 = 27613042380

Therefore, the lowest common multiple of 893,679,414,660,198 is 27613042380.

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.

893 x 679 x 414 x 660 x 198 = 32804294347440

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.

893 : 1, 19, 47, 893

679 : 1, 7, 97, 679

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

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 893,679,414,660,198, is 1.

Now, the common factors can be found like this.

893:19x 47

679:7x 97

414:2x 3x 3x 23

660:2x 2x 3x 5x 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 3x 3x 3x 11 = 1188

Therefore, the value for common factors is 1188.

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 = 32804294347440/(1x1188)

LCM = 32804294347440/1188

LCM = 27613042380

Thus, we can understand that the LCM of 893,679,414,660,198 is 27613042380.

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

• LCM of 559, 659, 586, 122, 180
• LCM of 324, 342, 176, 242, 777
• LCM of 132, 343, 991, 663, 856
• LCM of 890, 109, 931, 773, 995
• LCM of 839, 363, 200, 980, 415

1. What is the LCM of 893, 679, 414, 660, 198?

Answer: LCM of 893, 679, 414, 660, 198 is 27613042380.

2. How to calculate the LCM of 893, 679, 414, 660, 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 893, 679, 414, 660, 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}.