Given numbers are 858,207,354,312

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

The LCM of 858,207,354,312 is 13971672.

Find LCM of 858,207,354,312 with Prime Factorization

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

2 x 3 x 13 x 11 x 69 x 59 x 4 = 13971672

Therefore, the lowest common multiple of 858,207,354,312 is 13971672.

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.

858 x 207 x 354 x 312 = 19616227488

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.

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

207 : 1, 3, 9, 23, 69, 207

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

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,207,354,312, is 3.

Now, the common factors can be found like this.

858:2x 3x 11x 13

207:3x 3x 23

354:2x 3x 59

312:2x 2x 2x 3x 13

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 13 = 468

Therefore, the value for common factors is 468.

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 = 19616227488/(3x468)

LCM = 19616227488/1404

LCM = 13971672

Thus, we can understand that the LCM of 858,207,354,312 is 13971672.

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

• LCM of 360, 219, 803, 898
• LCM of 726, 979, 854, 765
• LCM of 711, 726, 904, 228
• LCM of 902, 510, 468, 777
• LCM of 511, 811, 642, 690

1. What is the LCM of 858, 207, 354, 312?

Answer: LCM of 858, 207, 354, 312 is 13971672.

2. How to calculate the LCM of 858, 207, 354, 312?

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 858, 207, 354, 312.

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}.