Given numbers are 507,466,362,949

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

The LCM of 507,466,362,949 is 3121729806.

Find LCM of 507,466,362,949 with Prime Factorization

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

2 x 13 x 39 x 233 x 181 x 73 = 3121729806

Therefore, the lowest common multiple of 507,466,362,949 is 3121729806.

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 466 x 362 x 949 = 81164974956

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

466 : 1, 2, 233, 466

362 : 1, 2, 181, 362

949 : 1, 13, 73, 949

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,466,362,949, is 1.

Now, the common factors can be found like this.

507:3x 13x 13

466:2x 233

362:2x 181

949:13x 73

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 81164974956/(1x26)

LCM = 81164974956/26

LCM = 3121729806

Thus, we can understand that the LCM of 507,466,362,949 is 3121729806.

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

• LCM of 789, 679, 216, 545
• LCM of 869, 308, 704, 393
• LCM of 954, 380, 616, 208
• LCM of 811, 785, 571, 442
• LCM of 933, 803, 633, 743

1. What is the LCM of 507, 466, 362, 949?

Answer: LCM of 507, 466, 362, 949 is 3121729806.

2. How to calculate the LCM of 507, 466, 362, 949?

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, 466, 362, 949.

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}.