Given numbers are 508,506,507,30

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

The LCM of 508,506,507,30 is 325808340.

Find LCM of 508,506,507,30 with Prime Factorization

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

2 x 3 x 254 x 253 x 169 x 5 = 325808340

Therefore, the lowest common multiple of 508,506,507,30 is 325808340.

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.

508 x 506 x 507 x 30 = 3909700080

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.

508 : 1, 2, 4, 127, 254, 508

506 : 1, 2, 11, 22, 23, 46, 253, 506

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

30 : 1, 2, 3, 5, 6, 10, 15, 30

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,506,507,30, is 1.

Now, the common factors can be found like this.

508:2x 2x 127

506:2x 11x 23

507:3x 13x 13

30:2x 3x 5

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 3 = 12

Therefore, the value for common factors is 12.

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 = 3909700080/(1x12)

LCM = 3909700080/12

LCM = 325808340

Thus, we can understand that the LCM of 508,506,507,30 is 325808340.

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

• LCM of 319, 697, 645, 77
• LCM of 351, 957, 101, 23
• LCM of 191, 632, 906, 85
• LCM of 702, 318, 141, 78
• LCM of 204, 747, 883, 27

1. What is the LCM of 508, 506, 507, 30?

Answer: LCM of 508, 506, 507, 30 is 325808340.

2. How to calculate the LCM of 508, 506, 507, 30?

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 508, 506, 507, 30.

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}.