Given numbers are 231,858,489,561,726

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

The LCM of 231,858,489,561,726 is 183068886.

Find LCM of 231,858,489,561,726 with Prime Factorization

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

2 x 3 x 11 x 7 x 13 x 163 x 17 x 11 = 183068886

Therefore, the lowest common multiple of 231,858,489,561,726 is 183068886.

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.

231 x 858 x 489 x 561 x 726 = 39473679337092

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.

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

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

489 : 1, 3, 163, 489

561 : 1, 3, 11, 17, 33, 51, 187, 561

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 231,858,489,561,726, is 3.

Now, the common factors can be found like this.

231:3x 7x 11

858:2x 3x 11x 13

489:3x 163

561:3x 11x 17

726:2x 3x 11x 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 3x 3x 3x 11x 11x 11 = 71874

Therefore, the value for common factors is 71874.

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 = 39473679337092/(3x71874)

LCM = 39473679337092/215622

LCM = 183068886

Thus, we can understand that the LCM of 231,858,489,561,726 is 183068886.

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

• LCM of 981, 786, 985, 313, 319
• LCM of 710, 914, 783, 923, 760
• LCM of 267, 573, 764, 127, 317
• LCM of 970, 528, 376, 931, 416
• LCM of 958, 200, 642, 993, 270

1. What is the LCM of 231, 858, 489, 561, 726?

Answer: LCM of 231, 858, 489, 561, 726 is 183068886.

2. How to calculate the LCM of 231, 858, 489, 561, 726?

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 231, 858, 489, 561, 726.

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}.