Given numbers are 507,39,345

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

The LCM of 507,39,345 is 58305.

Find LCM of 507,39,345 with Prime Factorization

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

3 x 13 x 1 x 13 x 115 = 58305

Therefore, the lowest common multiple of 507,39,345 is 58305.

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 39 x 345 = 6821685

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

39 : 1, 3, 13, 39

345 : 1, 3, 5, 15, 23, 69, 115, 345

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,39,345, is 3.

Now, the common factors can be found like this.

507:3x 13x 13

39:3x 13

345:3x 5x 23

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

3x 13 = 39

Therefore, the value for common factors is 39.

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 = 6821685/(3x39)

LCM = 6821685/117

LCM = 58305

Thus, we can understand that the LCM of 507,39,345 is 58305.

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

• LCM of 691, 95, 197
• LCM of 149, 48, 115
• LCM of 221, 71, 377
• LCM of 814, 83, 803
• LCM of 545, 14, 960

1. What is the LCM of 507, 39, 345?

Answer: LCM of 507, 39, 345 is 58305.

2. How to calculate the LCM of 507, 39, 345?

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, 39, 345.

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}.