Given numbers are 361,198,407,230,562

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

The LCM of 361,198,407,230,562 is 85463028090.

Find LCM of 361,198,407,230,562 with Prime Factorization

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

2 x 11 x 361 x 9 x 37 x 115 x 281 = 85463028090

Therefore, the lowest common multiple of 361,198,407,230,562 is 85463028090.

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.

361 x 198 x 407 x 230 x 562 = 3760373235960

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.

361 : 1, 19, 361

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

407 : 1, 11, 37, 407

230 : 1, 2, 5, 10, 23, 46, 115, 230

562 : 1, 2, 281, 562

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,198,407,230,562, is 1.

Now, the common factors can be found like this.

361:19x 19

198:2x 3x 3x 11

407:11x 37

230:2x 5x 23

562:2x 281

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 11 = 44

Therefore, the value for common factors is 44.

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 = 3760373235960/(1x44)

LCM = 3760373235960/44

LCM = 85463028090

Thus, we can understand that the LCM of 361,198,407,230,562 is 85463028090.

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

• LCM of 714, 152, 308, 846, 401
• LCM of 298, 715, 839, 459, 853
• LCM of 857, 628, 920, 934, 495
• LCM of 205, 122, 549, 710, 110
• LCM of 340, 138, 241, 279, 384

1. What is the LCM of 361, 198, 407, 230, 562?

Answer: LCM of 361, 198, 407, 230, 562 is 85463028090.

2. How to calculate the LCM of 361, 198, 407, 230, 562?

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 361, 198, 407, 230, 562.

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}.