Given numbers are 206,418,691,231,360

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

The LCM of 206,418,691,231,360 is 37485395640.

Find LCM of 206,418,691,231,360 with Prime Factorization

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

2 x 3 x 11 x 103 x 19 x 691 x 7 x 60 = 37485395640

Therefore, the lowest common multiple of 206,418,691,231,360 is 37485395640.

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.

206 x 418 x 691 x 231 x 360 = 4948072224480

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.

206 : 1, 2, 103, 206

418 : 1, 2, 11, 19, 22, 38, 209, 418

691 : 1, 691

231 : 1, 3, 7, 11, 21, 33, 77, 231

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 206,418,691,231,360, is 1.

Now, the common factors can be found like this.

206:2x 103

418:2x 11x 19

691:691

231:3x 7x 11

360:2x 2x 2x 3x 3x 5

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 11 = 132

Therefore, the value for common factors is 132.

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 = 4948072224480/(1x132)

LCM = 4948072224480/132

LCM = 37485395640

Thus, we can understand that the LCM of 206,418,691,231,360 is 37485395640.

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

• LCM of 755, 598, 536, 143, 227
• LCM of 832, 305, 679, 465, 899
• LCM of 264, 578, 670, 365, 609
• LCM of 843, 366, 745, 470, 686
• LCM of 762, 347, 175, 617, 751

1. What is the LCM of 206, 418, 691, 231, 360?

Answer: LCM of 206, 418, 691, 231, 360 is 37485395640.

2. How to calculate the LCM of 206, 418, 691, 231, 360?

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 206, 418, 691, 231, 360.

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}.