Given numbers are 507,846,311,213

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

The LCM of 507,846,311,213 is 3157008894.

Find LCM of 507,846,311,213 with Prime Factorization

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

3 x 169 x 282 x 311 x 71 = 3157008894

Therefore, the lowest common multiple of 507,846,311,213 is 3157008894.

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.

507 x 846 x 311 x 213 = 28413080046

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.

507 : 1, 3, 13, 39, 169, 507

846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

311 : 1, 311

213 : 1, 3, 71, 213

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,846,311,213, is 1.

Now, the common factors can be found like this.

507:3x 13x 13

846:2x 3x 3x 47

311:311

213:3x 71

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 28413080046/(1x9)

LCM = 28413080046/9

LCM = 3157008894

Thus, we can understand that the LCM of 507,846,311,213 is 3157008894.

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

• LCM of 315, 985, 648, 349
• LCM of 641, 217, 563, 683
• LCM of 372, 301, 333, 664
• LCM of 866, 116, 281, 538
• LCM of 264, 988, 951, 600

1. What is the LCM of 507, 846, 311, 213?

Answer: LCM of 507, 846, 311, 213 is 3157008894.

2. How to calculate the LCM of 507, 846, 311, 213?

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 507, 846, 311, 213.

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}.