Given numbers are 849,753,577,367,214

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

The LCM of 849,753,577,367,214 is 9656885064174.

Find LCM of 849,753,577,367,214 with Prime Factorization

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

3 x 283 x 251 x 577 x 367 x 214 = 9656885064174

Therefore, the lowest common multiple of 849,753,577,367,214 is 9656885064174.

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.

849 x 753 x 577 x 367 x 214 = 28970655192522

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.

849 : 1, 3, 283, 849

753 : 1, 3, 251, 753

577 : 1, 577

367 : 1, 367

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 849,753,577,367,214, is 1.

Now, the common factors can be found like this.

849:3x 283

753:3x 251

577:577

367:367

214:2x 107

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3 = 3

Therefore, the value for common factors is 3.

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 = 28970655192522/(1x3)

LCM = 28970655192522/3

LCM = 9656885064174

Thus, we can understand that the LCM of 849,753,577,367,214 is 9656885064174.

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

• LCM of 536, 805, 415, 324, 179
• LCM of 506, 768, 655, 679, 390
• LCM of 786, 517, 805, 245, 584
• LCM of 542, 916, 645, 931, 529
• LCM of 237, 381, 573, 762, 251

1. What is the LCM of 849, 753, 577, 367, 214?

Answer: LCM of 849, 753, 577, 367, 214 is 9656885064174.

2. How to calculate the LCM of 849, 753, 577, 367, 214?

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 849, 753, 577, 367, 214.

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}.